122037984 has 72 divisors (see below), whose sum is σ = 349385400. Its totient is φ = 40405248.

The previous prime is 122037973. The next prime is 122037989. The reversal of 122037984 is 489730221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122037989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43867 + ... + 46565.

It is an arithmetic number, because the mean of its divisors is an integer number (4852575).

Almost surely, 2^122037984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122037984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174692700).

122037984 is an abundant number, since it is smaller than the sum of its proper divisors (227347416).

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

122037984 is a wasteful number, since it uses less digits than its factorization.

122037984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 122037984 is about 11047.0803382613. The cubic root of 122037984 is about 496.0190332620.

It can be divided in two parts, 1220 and 37984, that added together give a square (39204 = 198²).

The spelling of 122037984 in words is "one hundred twenty-two million, thirty-seven thousand, nine hundred eighty-four".