210034412013123 has 48 divisors (see below), whose sum is σ = 314034252480000. Its totient is φ = 135112849502400.

The previous prime is 210034412013119. The next prime is 210034412013131. The reversal of 210034412013123 is 321310214430012.

210034412013123 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 3 + 441 + 201 + 3 + 12 + 3 = 666.

It is not a de Polignac number, because 210034412013123 - 2² = 210034412013119 is a prime.

It is a super-2 number, since 2×210034412013123² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210034412013143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7748332336 + ... + 7748359442.

It is an arithmetic number, because the mean of its divisors is an integer number (6542380260000).

Almost surely, 2^{210034412013123} is an apocalyptic number.

210034412013123 is a deficient number, since it is larger than the sum of its proper divisors (103999840466877).

210034412013123 is a wasteful number, since it uses less digits than its factorization.

210034412013123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43992 (or 43989 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 210034412013123 its reverse (321310214430012), we get a palindrome (531344626443135).

The spelling of 210034412013123 in words is "two hundred ten trillion, thirty-four billion, four hundred twelve million, thirteen thousand, one hundred twenty-three".