123051221353305 has 160 divisors (see below), whose sum is σ = 254430510048000. Its totient is φ = 55730327367168.

The previous prime is 123051221353243. The next prime is 123051221353321. The reversal of 123051221353305 is 503353122150321.

123051221353305 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 51 + 221 + 353 + 30 + 5 = 666.

It is not a de Polignac number, because 123051221353305 - 2⁶ = 123051221353241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123051221353305.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6107053371 + ... + 6107073519.

It is an arithmetic number, because the mean of its divisors is an integer number (1590190687800).

Almost surely, 2^{123051221353305} is an apocalyptic number.

123051221353305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123051221353305 is an abundant number, since it is smaller than the sum of its proper divisors (131379288694695).

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

123051221353305 is a wasteful number, since it uses less digits than its factorization.

123051221353305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40045 (or 40036 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 123051221353305 in words is "one hundred twenty-three trillion, fifty-one billion, two hundred twenty-one million, three hundred fifty-three thousand, three hundred five".