122013420 has 192 divisors, whose sum is σ = 384725376. Its totient is φ = 28753920.

The previous prime is 122013407. The next prime is 122013431. The reversal of 122013420 is 24310221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122013420.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2000190 + ... + 2000250.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 2^122013420 is an apocalyptic number.

122013420 is a gapful number since it is divisible by the number (10) 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 122013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362688).

122013420 is an abundant number, since it is smaller than the sum of its proper divisors (262711956).

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

122013420 is a wasteful number, since it uses less digits than its factorization.

122013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122013420 is about 11045.9684953380. The cubic root of 122013420 is about 495.9857511949.

Adding to 122013420 its reverse (24310221), we get a palindrome (146323641).

The spelling of 122013420 in words is "one hundred twenty-two million, thirteen thousand, four hundred twenty".