120038100 has 144 divisors (see below), whose sum is σ = 427555968. Its totient is φ = 25320960.

The previous prime is 120038099. The next prime is 120038123. The reversal of 120038100 is 1830021.

It is a happy number.

It is a super-2 number, since 2×120038100² = 28818290903220000, which contains 22 as substring.

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 120038100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25102 + ... + 29498.

Almost surely, 2^120038100 is an apocalyptic number.

120038100 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 120038100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213777984).

120038100 is an abundant number, since it is smaller than the sum of its proper divisors (307517868).

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

120038100 is a wasteful number, since it uses less digits than its factorization.

120038100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 120038100 is about 10956.1900312107. The cubic root of 120038100 is about 493.2946108313.

Adding to 120038100 its reverse (1830021), we get a palindrome (121868121).

The spelling of 120038100 in words is "one hundred twenty million, thirty-eight thousand, one hundred".