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1121223331332 = 2232132395776349
BaseRepresentation
bin10000010100001110000…
…111100100111000000100
310222012001222111201002100
4100110032013210320010
5121332231133100312
62215025523112100
7144001650032046
oct20241607447004
93865058451070
101121223331332
113a2565381a45
12161373512630
1381966a55bb0
143c3a6033a96
151e273d155dc
hex1050e1e4e04

1121223331332 has 36 divisors (see below), whose sum is σ = 3052219069900. Its totient is φ = 344991794112.

The previous prime is 1121223331331. The next prime is 1121223331337. The reversal of 1121223331332 is 2331333221211.

1121223331332 is a `hidden beast` number, since 1 + 121 + 223 + 3 + 313 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 740329459776 + 380893871556 = 860424^2 + 617166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1121223331296 and 1121223331305.

It is not an unprimeable number, because it can be changed into a prime (1121223331331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197887707 + ... + 1197888642.

Almost surely, 21121223331332 is an apocalyptic number.

1121223331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121223331332 is an abundant number, since it is smaller than the sum of its proper divisors (1930995738568).

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

1121223331332 is a wasteful number, since it uses less digits than its factorization.

1121223331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395776372 (or 2395776367 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1121223331332 its reverse (2331333221211), we get a palindrome (3452556552543).

The spelling of 1121223331332 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2395776349 4791552698 7187329047 9583105396 14374658094 21561987141 28749316188 31145092537 43123974282 62290185074 86247948564 93435277611 124580370148 186870555222 280305832833 373741110444 560611665666 1121223331332