412122100133031 has 32 divisors (see below), whose sum is σ = 593164749980160. Its totient is φ = 253737988420224.

The previous prime is 412122100132979. The next prime is 412122100133057. The reversal of 412122100133031 is 130331001221214.

It is not a de Polignac number, because 412122100133031 - 2¹⁴ = 412122100116647 is a prime.

It is a super-2 number, since 2×412122100133031² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412122100132992 and 412122100133010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412122100233031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228442120 + ... + 230239106.

It is an arithmetic number, because the mean of its divisors is an integer number (18536398436880).

Almost surely, 2^{412122100133031} is an apocalyptic number.

412122100133031 is a deficient number, since it is larger than the sum of its proper divisors (181042649847129).

412122100133031 is a wasteful number, since it uses less digits than its factorization.

412122100133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911655.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 412122100133031 its reverse (130331001221214), we get a palindrome (542453101354245).

The spelling of 412122100133031 in words is "four hundred twelve trillion, one hundred twenty-two billion, one hundred million, one hundred thirty-three thousand, thirty-one".