122345051020335 has 288 divisors, whose sum is σ = 251688469032000. Its totient is φ = 54611656704000.

The previous prime is 122345051020327. The next prime is 122345051020393. The reversal of 122345051020335 is 533020150543221.

122345051020335 is a `hidden beast` number, since 1 + 223 + 4 + 50 + 51 + 0 + 2 + 0 + 335 = 666.

It is not a de Polignac number, because 122345051020335 - 2³ = 122345051020327 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122345051020335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78983247141 + ... + 78983248689.

It is an arithmetic number, because the mean of its divisors is an integer number (873918295250).

Almost surely, 2^{122345051020335} is an apocalyptic number.

122345051020335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122345051020335 is an abundant number, since it is smaller than the sum of its proper divisors (129343418011665).

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

122345051020335 is a wasteful number, since it uses less digits than its factorization.

122345051020335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 122345051020335 in words is "one hundred twenty-two trillion, three hundred forty-five billion, fifty-one million, twenty thousand, three hundred thirty-five".