312011121000 has 128 divisors (see below), whose sum is σ = 999785180160. Its totient is φ = 80954208000.

The previous prime is 312011120989. The next prime is 312011121013. The reversal of 312011121000 is 121110213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294456 + ... + 1516455.

It is an arithmetic number, because the mean of its divisors is an integer number (7810821720).

Almost surely, 2^312011121000 is an apocalyptic number.

312011121000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312011121000 is an abundant number, since it is smaller than the sum of its proper divisors (687774059160).

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

312011121000 is a wasteful number, since it uses less digits than its factorization.

312011121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810972 (or 2810958 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 312011121000 its reverse (121110213), we get a palindrome (312132231213).

The spelling of 312011121000 in words is "three hundred twelve billion, eleven million, one hundred twenty-one thousand".