12612313401100 has 72 divisors (see below), whose sum is σ = 33118451220960. Its totient is φ = 4069855749120.

The previous prime is 12612313401091. The next prime is 12612313401109. The reversal of 12612313401100 is 110431321621.

It is an interprime number because it is at equal distance from previous prime (12612313401091) and next prime (12612313401109).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12612313401109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529917235 + ... + 529941034.

It is an arithmetic number, because the mean of its divisors is an integer number (459978489180).

Almost surely, 2^{12612313401100} is an apocalyptic number.

12612313401100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12612313401100 is an abundant number, since it is smaller than the sum of its proper divisors (20506137819860).

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

12612313401100 is a wasteful number, since it uses less digits than its factorization.

12612313401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059858307 (or 1059858300 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 12612313401100 its reverse (110431321621), we get a palindrome (12722744722721).

The spelling of 12612313401100 in words is "twelve trillion, six hundred twelve billion, three hundred thirteen million, four hundred one thousand, one hundred".