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21120021220122 = 232115912714235523
BaseRepresentation
bin1001100110101011000110…
…10111001100101100011010
32202210001110120222122011200
410303111203113030230122
510232012300413020442
6112530223115535030
74306604546223366
oct463254327145432
982701416878150
1021120021220122
116802a50421040
12245125045a476
13ba27bcc86506
145303007722a6
152695a839534c
hex1335635ccb1a

21120021220122 has 96 divisors (see below), whose sum is σ = 51165889781760. Its totient is φ = 6241991686560.

The previous prime is 21120021220073. The next prime is 21120021220141. The reversal of 21120021220122 is 22102212002112.

It is a happy number.

21120021220122 is a `hidden beast` number, since 211 + 20 + 0 + 212 + 201 + 22 = 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 = 21120021220095 and 21120021220104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5634148 + ... + 8601375.

It is an arithmetic number, because the mean of its divisors is an integer number (532978018560).

Almost surely, 221120021220122 is an apocalyptic number.

21120021220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21120021220122 is an abundant number, since it is smaller than the sum of its proper divisors (30045868561638).

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

21120021220122 is a wasteful number, since it uses less digits than its factorization.

21120021220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14235728 (or 14235725 counting only the distinct ones).

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

Adding to 21120021220122 its reverse (22102212002112), we get a palindrome (43222233222234).

The spelling of 21120021220122 in words is "twenty-one trillion, one hundred twenty billion, twenty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 127 177 198 254 354 381 531 649 762 1062 1143 1298 1397 1947 2286 2794 3894 4191 5841 7493 8382 11682 12573 14986 22479 25146 44958 67437 82423 134874 164846 247269 494538 741807 1483614 14235523 28471046 42706569 85413138 128119707 156590753 256239414 313181506 469772259 839895857 939544518 1409316777 1679791714 1807911421 2519687571 2818633554 3615822842 5039375142 5423734263 7559062713 9238854427 10847468526 15118125426 16271202789 18477708854 19887025631 27716563281 32542405578 39774051262 55433126562 59661076893 83149689843 106666773839 119322153786 166299379686 178983230679 213333547678 320000321517 357966461358 640000643034 960000964551 1173334512229 1920001929102 2346669024458 3520003536687 7040007073374 10560010610061 21120021220122