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12310140000400 = 2452117355016967
BaseRepresentation
bin1011001100100010110110…
…0001011001100010010000
31121120211121211012112002221
42303020231201121202100
53103142131320003100
642103111130350424
72410243513351264
oct263105541314220
947524554175087
1012310140000400
113a16779118520
121469954b8b414
136b3ac2216218
14307b576c80a4
151653358e401a
hexb322d859890

12310140000400 has 240 divisors, whose sum is σ = 32716367768448. Its totient is φ = 4413657600000.

The previous prime is 12310140000391. The next prime is 12310140000401. The reversal of 12310140000400 is 400004101321.

It is a super-2 number, since 2×123101400004002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12310140000401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766917717 + ... + 1766924683.

Almost surely, 212310140000400 is an apocalyptic number.

12310140000400 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 12310140000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358183884224).

12310140000400 is an abundant number, since it is smaller than the sum of its proper divisors (20406227768048).

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

12310140000400 is a wasteful number, since it uses less digits than its factorization.

12310140000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12310140000400 its reverse (400004101321), we get a palindrome (12710144101721).

The spelling of 12310140000400 in words is "twelve trillion, three hundred ten billion, one hundred forty million, four hundred", and thus it is an aban number.