121312434213100 has 72 divisors (see below), whose sum is σ = 283508481639600. Its totient is φ = 44790599988480.

The previous prime is 121312434213041. The next prime is 121312434213101. The reversal of 121312434213100 is 1312434213121.

It is a super-2 number, since 2×121312434213100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121312434213101) 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, 33116751 + ... + 36597049.

It is an arithmetic number, because the mean of its divisors is an integer number (3937617800550).

Almost surely, 2^{121312434213100} is an apocalyptic number.

121312434213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312434213100 is an abundant number, since it is smaller than the sum of its proper divisors (162196047426500).

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

121312434213100 is a wasteful number, since it uses less digits than its factorization.

121312434213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507139 (or 3507132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 121312434213100 its reverse (1312434213121), we get a palindrome (122624868426221).

The spelling of 121312434213100 in words is "one hundred twenty-one trillion, three hundred twelve billion, four hundred thirty-four million, two hundred thirteen thousand, one hundred".