53122190121 has 384 divisors, whose sum is σ = 115831296000. Its totient is φ = 23566878720.

The previous prime is 53122190059. The next prime is 53122190123. The reversal of 53122190121 is 12109122135.

53122190121 is a `hidden beast` number, since 531 + 2 + 2 + 1 + 9 + 0 + 121 = 666.

It is not a de Polignac number, because 53122190121 - 2⁶ = 53122190057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53122190123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 266945580 + ... + 266945778.

It is an arithmetic number, because the mean of its divisors is an integer number (301644000).

Almost surely, 2^53122190121 is an apocalyptic number.

53122190121 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

53122190121 is an abundant number, since it is smaller than the sum of its proper divisors (62709105879).

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

53122190121 is a wasteful number, since it uses less digits than its factorization.

53122190121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 53122190121 in words is "fifty-three billion, one hundred twenty-two million, one hundred ninety thousand, one hundred twenty-one".