121012102201200 has 180 divisors, whose sum is σ = 450930607176600. Its totient is φ = 27659909061120.

The previous prime is 121012102201141. The next prime is 121012102201213. The reversal of 121012102201200 is 2102201210121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121012102201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1028955675 + ... + 1029073274.

It is an arithmetic number, because the mean of its divisors is an integer number (2505170039870).

Almost surely, 2^{121012102201200} is an apocalyptic number.

121012102201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012102201200 is an abundant number, since it is smaller than the sum of its proper divisors (329918504975400).

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

121012102201200 is a wasteful number, since it uses less digits than its factorization.

121012102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058028984 (or 2058028966 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121012102201200 its reverse (2102201210121), we get a palindrome (123114303411321).

The spelling of 121012102201200 in words is "one hundred twenty-one trillion, twelve billion, one hundred two million, two hundred one thousand, two hundred".