122013300 has 72 divisors (see below), whose sum is σ = 354414816. Its totient is φ = 32408960.

The previous prime is 122013299. The next prime is 122013313. The reversal of 122013300 is 3310221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94459 + ... + 95741.

It is an arithmetic number, because the mean of its divisors is an integer number (4922428).

Almost surely, 2^122013300 is an apocalyptic number.

122013300 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 122013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177207408).

122013300 is an abundant number, since it is smaller than the sum of its proper divisors (232401516).

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

122013300 is a wasteful number, since it uses less digits than its factorization.

122013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 122013300 is about 11045.9630634907. The cubic root of 122013300 is about 495.9855885945.

Adding to 122013300 its reverse (3310221), we get a palindrome (125323521).

The spelling of 122013300 in words is "one hundred twenty-two million, thirteen thousand, three hundred".