121314000413100 has 144 divisors (see below), whose sum is σ = 385665857055360. Its totient is φ = 29197875724800.

The previous prime is 121314000413087. The next prime is 121314000413141. The reversal of 121314000413100 is 1314000413121.

It is a super-2 number, since 2×121314000413100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131778057 + ... + 132695456.

It is an arithmetic number, because the mean of its divisors is an integer number (2678235118440).

Almost surely, 2^{121314000413100} is an apocalyptic number.

121314000413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121314000413100 is an abundant number, since it is smaller than the sum of its proper divisors (264351856642260).

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

121314000413100 is a wasteful number, since it uses less digits than its factorization.

121314000413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264473680 (or 264473673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121314000413100 its sum of digits (21), we get a palindrome (121314000413121).

Adding to 121314000413100 its reverse (1314000413121), we get a palindrome (122628000826221).

The spelling of 121314000413100 in words is "one hundred twenty-one trillion, three hundred fourteen billion, four hundred thirteen thousand, one hundred".