122133420 has 60 divisors (see below), whose sum is σ = 383142144. Its totient is φ = 32568480.

The previous prime is 122133409. The next prime is 122133433. The reversal of 122133420 is 24331221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×122133420⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122133393 and 122133402.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36076 + ... + 39315.

Almost surely, 2^122133420 is an apocalyptic number.

122133420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133420 is an abundant number, since it is smaller than the sum of its proper divisors (261008724).

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

122133420 is a wasteful number, since it uses less digits than its factorization.

122133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75412 (or 75401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122133420 is about 11051.3990064607. The cubic root of 122133420 is about 496.1482983113.

Adding to 122133420 its reverse (24331221), we get a palindrome (146464641).

The spelling of 122133420 in words is "one hundred twenty-two million, one hundred thirty-three thousand, four hundred twenty".