Search a number
-
+
12312012212320 = 25510945710091531
BaseRepresentation
bin1011001100101001110100…
…0111010100100001100000
31121121000110022002202001011
42303022131013110201200
53103210000111243240
642104021010350304
72410341066034132
oct263123507244140
947530408082034
1012312012212320
113a17549a13aa7
12146a197b8b394
136b403006a822
14307c941db052
151653e4e636ea
hexb329d1d4860

12312012212320 has 192 divisors, whose sum is σ = 29466605044800. Its totient is φ = 4860943073280.

The previous prime is 12312012212261. The next prime is 12312012212327. The reversal of 12312012212320 is 2321221021321.

It is a junction number, because it is equal to n+sod(n) for n = 12312012212291 and 12312012212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312012212327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8041809955 + ... + 8041811485.

It is an arithmetic number, because the mean of its divisors is an integer number (153471901275).

Almost surely, 212312012212320 is an apocalyptic number.

12312012212320 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 12312012212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733302522400).

12312012212320 is an abundant number, since it is smaller than the sum of its proper divisors (17154592832480).

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

12312012212320 is a wasteful number, since it uses less digits than its factorization.

12312012212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12312012212320 its reverse (2321221021321), we get a palindrome (14633233233641).

The spelling of 12312012212320 in words is "twelve trillion, three hundred twelve billion, twelve million, two hundred twelve thousand, three hundred twenty".