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12311232120 = 23345112311013
BaseRepresentation
bin10110111011100111…
…00111111001111000
31011202222202101120000
423131303213321320
5200203133411440
65353344233000
7614040514005
oct133563477170
934688671500
1012311232120
115248407a00
12247700b760
131212795c45
1484b0b68ac
154c0c4c730
hex2ddce7e78

12311232120 has 480 divisors, whose sum is σ = 46996709760. Its totient is φ = 2885414400.

The previous prime is 12311232119. The next prime is 12311232133. The reversal of 12311232120 is 2123211321.

12311232120 is a `hidden beast` number, since 1 + 2 + 311 + 232 + 120 = 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 = 12311232093 and 12311232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12152734 + ... + 12153746.

It is an arithmetic number, because the mean of its divisors is an integer number (97909812).

Almost surely, 212311232120 is an apocalyptic number.

12311232120 is a gapful number since it is divisible by the number (10) 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 12311232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498354880).

12311232120 is an abundant number, since it is smaller than the sum of its proper divisors (34685477640).

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

12311232120 is a wasteful number, since it uses less digits than its factorization.

12311232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12311232120 its reverse (2123211321), we get a palindrome (14434443441).

The spelling of 12311232120 in words is "twelve billion, three hundred eleven million, two hundred thirty-two thousand, one hundred twenty".