112959383217135 has 128 divisors (see below), whose sum is σ = 227927746658304. Its totient is φ = 46491698442240.

The previous prime is 112959383217077. The next prime is 112959383217143. The reversal of 112959383217135 is 531712383959211.

It is not a de Polignac number, because 112959383217135 - 2¹¹ = 112959383215087 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216716002 + ... + 217236608.

It is an arithmetic number, because the mean of its divisors is an integer number (1780685520768).

Almost surely, 2^{112959383217135} is an apocalyptic number.

112959383217135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112959383217135 is an abundant number, since it is smaller than the sum of its proper divisors (114968363441169).

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

112959383217135 is a wasteful number, since it uses less digits than its factorization.

112959383217135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524553.

The product of its digits is 12247200, while the sum is 60.

The spelling of 112959383217135 in words is "one hundred twelve trillion, nine hundred fifty-nine billion, three hundred eighty-three million, two hundred seventeen thousand, one hundred thirty-five".