123033251051541 has 128 divisors (see below), whose sum is σ = 194515022592000. Its totient is φ = 76710812064768.

The previous prime is 123033251051479. The next prime is 123033251051551. The reversal of 123033251051541 is 145150152330321.

It is a happy number.

123033251051541 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 3 + 2 + 5 + 105 + 1 + 541 = 666.

It is not a de Polignac number, because 123033251051541 - 2¹⁴ = 123033251035157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123033251051496 and 123033251051505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123033251051551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12336629031 + ... + 12336639003.

It is an arithmetic number, because the mean of its divisors is an integer number (1519648614000).

Almost surely, 2^{123033251051541} is an apocalyptic number.

It is an amenable number.

123033251051541 is a deficient number, since it is larger than the sum of its proper divisors (71481771540459).

123033251051541 is a wasteful number, since it uses less digits than its factorization.

123033251051541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 123033251051541 in words is "one hundred twenty-three trillion, thirty-three billion, two hundred fifty-one million, fifty-one thousand, five hundred forty-one".