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21120021221220 = 223251091790360127
BaseRepresentation
bin1001100110101011000110…
…10111001100111101100100
32202210001110120222200200100
410303111203113030331210
510232012300413034340
6112530223115544100
74306604546226525
oct463254327147544
982701416880610
1021120021221220
116802a50421949
12245125045b030
13ba27bcc86b6c
1453030077284c
152695a8395830
hex1335635ccf64

21120021221220 has 144 divisors (see below), whose sum is σ = 64656494622720. Its totient is φ = 5579931379968.

The previous prime is 21120021221213. The next prime is 21120021221237. The reversal of 21120021221220 is 2212212002112.

It is a happy number.

21120021221220 is a `hidden beast` number, since 2 + 1 + 1 + 200 + 21 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21120021221193 and 21120021221202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351226797 + ... + 351286923.

It is an arithmetic number, because the mean of its divisors is an integer number (449003434880).

Almost surely, 221120021221220 is an apocalyptic number.

21120021221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120021221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32328247311360).

21120021221220 is an abundant number, since it is smaller than the sum of its proper divisors (43536473401500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21120021221220 is a wasteful number, since it uses less digits than its factorization.

21120021221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78154 (or 78149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21120021221220 its reverse (2212212002112), we get a palindrome (23332233223332).

The spelling of 21120021221220 in words is "twenty-one trillion, one hundred twenty billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 17903 19620 35806 53709 60127 71612 89515 107418 120254 161127 179030 180381 214836 240508 268545 300635 322254 358060 360762 537090 541143 601270 644508 721524 805635 901905 1074180 1082286 1202540 1611270 1803810 1951427 2164572 2705715 3222540 3607620 3902854 5411430 5854281 6553843 7805708 9757135 10822860 11708562 13107686 17562843 19514270 19661529 23417124 26215372 29271405 32769215 35125686 39028540 39323058 58542810 58984587 65538430 70251372 78646116 87814215 98307645 117085620 117969174 131076860 175628430 196615290 235938348 294922935 351256860 393230580 589845870 1076453681 1179691740 2152907362 3229361043 4305814724 5382268405 6458722086 9688083129 10764536810 12917444172 16146805215 19376166258 21529073620 32293610430 38752332516 48440415645 64587220860 96880831290 117333451229 193761662580 234666902458 352000353687 469333804916 586667256145 704000707374 1056001061061 1173334512290 1408001414748 1760001768435 2112002122122 2346669024580 3520003536870 4224004244244 5280005305305 7040007073740 10560010610610 21120021221220