122013864 has 160 divisors (see below), whose sum is σ = 401681280. Its totient is φ = 33872256.

The previous prime is 122013863. The next prime is 122013869. The reversal of 122013864 is 468310221.

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 (122013863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167469 + ... + 168195.

It is an arithmetic number, because the mean of its divisors is an integer number (2510508).

Almost surely, 2^122013864 is an apocalyptic number.

122013864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122013864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200840640).

122013864 is an abundant number, since it is smaller than the sum of its proper divisors (279667416).

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

122013864 is a wasteful number, since it uses less digits than its factorization.

122013864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122013864 is about 11045.9885931500. The cubic root of 122013864 is about 495.9863528156.

The spelling of 122013864 in words is "one hundred twenty-two million, thirteen thousand, eight hundred sixty-four".