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1122220122120 = 2332517183369301
BaseRepresentation
bin10000010101001001100…
…010000010000000001000
310222021122110010220222200
4100111021202002000020
5121341301322401440
62215312451520200
7144035442435456
oct20251142020010
93867573126880
101122220122120
113a2a27003689
121615b12b9060
1381a9540b426
143c45c5879d6
151e2d15b0c30
hex10549882008

1122220122120 has 96 divisors (see below), whose sum is σ = 3861757500120. Its totient is φ = 281655244800.

The previous prime is 1122220122109. The next prime is 1122220122143. The reversal of 1122220122120 is 212210222211.

It is a happy number.

1122220122120 is a `hidden beast` number, since 1 + 1 + 222 + 201 + 221 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 828562344516 + 293657777604 = 910254^2 + 541902^2 .

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 = 1122220122093 and 1122220122102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91678531 + ... + 91690770.

Almost surely, 21122220122120 is an apocalyptic number.

1122220122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122220122120 is an abundant number, since it is smaller than the sum of its proper divisors (2739537378000).

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

1122220122120 is a wasteful number, since it uses less digits than its factorization.

1122220122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183369335 (or 183369328 counting only the distinct ones).

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

Adding to 1122220122120 its reverse (212210222211), we get a palindrome (1334430344331).

The spelling of 1122220122120 in words is "one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 183369301 366738602 550107903 733477204 916846505 1100215806 1466954408 1650323709 1833693010 2200431612 2750539515 3117278117 3300647418 3667386020 4400863224 5501079030 6234556234 6601294836 7334772040 8251618545 9351834351 11002158060 12469112468 13202589672 15586390585 16503237090 18703668702 22004316120 24938224936 28055503053 31172781170 33006474180 37407337404 46759171755 56111006106 62345562340 66012948360 74814674808 93518343510 112222012212 124691124680 140277515265 187036687020 224444024424 280555030530 374073374040 561110061060 1122220122120