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1120221221220 = 223451016846481
BaseRepresentation
bin10000010011010010011…
…000110101000101100100
310222002111010212020110000
4100103102120311011210
5121323203113034340
62214342244301300
7143635061162163
oct20232230650544
93862433766400
101120221221220
113a20a0747872
121611339a1830
138183725a42a
143c30ccd73da
151e215d68d30
hex104d2635164

1120221221220 has 120 divisors (see below), whose sum is σ = 3548969795448. Its totient is φ = 295767936000.

The previous prime is 1120221221191. The next prime is 1120221221239. The reversal of 1120221221220 is 221221220211.

It is a happy number.

1120221221220 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 221 + 221 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 779321715264 + 340899505956 = 882792^2 + 583866^2 .

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 = 1120221221193 and 1120221221202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3259621 + ... + 3586860.

Almost surely, 21120221221220 is an apocalyptic number.

1120221221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120221221220 is an abundant number, since it is smaller than the sum of its proper divisors (2428748574228).

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

1120221221220 is a wasteful number, since it uses less digits than its factorization.

1120221221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846603 (or 6846592 counting only the distinct ones).

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

Adding to 1120221221220 its reverse (221221220211), we get a palindrome (1341442441431).

The spelling of 1120221221220 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 270 303 324 404 405 505 540 606 810 909 1010 1212 1515 1620 1818 2020 2727 3030 3636 4545 5454 6060 8181 9090 10908 13635 16362 18180 27270 32724 40905 54540 81810 163620 6846481 13692962 20539443 27385924 34232405 41078886 61618329 68464810 82157772 102697215 123236658 136929620 184854987 205394430 246473316 308091645 369709974 410788860 554564961 616183290 691494581 739419948 924274935 1109129922 1232366580 1382989162 1848549870 2074483743 2218259844 2765978324 2772824805 3457472905 3697099740 4148967486 5545649610 6223451229 6914945810 8297934972 10372418715 11091299220 12446902458 13829891620 18670353687 20744837430 24893804916 31117256145 37340707374 41489674860 56011061061 62234512290 74681414748 93351768435 112022122122 124469024580 186703536870 224044244244 280055305305 373407073740 560110610610 1120221221220