121130312131200 has 384 divisors, whose sum is σ = 400998853448640. Its totient is φ = 32137740288000.

The previous prime is 121130312131181. The next prime is 121130312131223. The reversal of 121130312131200 is 2131213031121.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1837474240 + ... + 1837540160.

Almost surely, 2^{121130312131200} is an apocalyptic number.

121130312131200 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 121130312131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200499426724320).

121130312131200 is an abundant number, since it is smaller than the sum of its proper divisors (279868541317440).

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

121130312131200 is a wasteful number, since it uses less digits than its factorization.

121130312131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66916 (or 66899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 121130312131200 its reverse (2131213031121), we get a palindrome (123261525162321).

The spelling of 121130312131200 in words is "one hundred twenty-one trillion, one hundred thirty billion, three hundred twelve million, one hundred thirty-one thousand, two hundred".