210312121213012 has 36 divisors (see below), whose sum is σ = 461068881126420. Its totient is φ = 83200399599744.

The previous prime is 210312121212979. The next prime is 210312121213021.

It is a happy number.

210312121213012 is nontrivially palindromic in base 10.

210312121213012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23190350084496 + 187121771128516 = 4815636^2 + 13679246^2 .

It is a super-2 number, since 2×210312121213012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41270036937 + ... + 41270042032.

Almost surely, 2^{210312121213012} is an apocalyptic number.

It is an amenable number.

210312121213012 is an abundant number, since it is smaller than the sum of its proper divisors (250756759913408).

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

210312121213012 is a wasteful number, since it uses less digits than its factorization.

210312121213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82540079000 (or 82540078991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 210312121213012 in words is "two hundred ten trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thirteen thousand, twelve".