12693650100 has 144 divisors (see below), whose sum is σ = 39114871488. Its totient is φ = 3167221760.

The previous prime is 12693650087. The next prime is 12693650119. The reversal of 12693650100 is 105639621.

It is a happy number.

It is a super-2 number, since 2×12693650100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 875107 + ... + 889493.

It is an arithmetic number, because the mean of its divisors is an integer number (271631052).

Almost surely, 2^12693650100 is an apocalyptic number.

12693650100 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 12693650100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557435744).

12693650100 is an abundant number, since it is smaller than the sum of its proper divisors (26421221388).

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

12693650100 is a wasteful number, since it uses less digits than its factorization.

12693650100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594 (or 14587 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 12693650100 in words is "twelve billion, six hundred ninety-three million, six hundred fifty thousand, one hundred".