38500120202112 has 240 divisors, whose sum is σ = 116778417312480. Its totient is φ = 12591224755200.

The previous prime is 38500120202107. The next prime is 38500120202183. The reversal of 38500120202112 is 21120202100583.

38500120202112 is a `hidden beast` number, since 3 + 8 + 500 + 1 + 20 + 20 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28462737 + ... + 29784687.

It is an arithmetic number, because the mean of its divisors is an integer number (486576738802).

Almost surely, 2^{38500120202112} is an apocalyptic number.

38500120202112 is a gapful number since it is divisible by the number (32) 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 38500120202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58389208656240).

38500120202112 is an abundant number, since it is smaller than the sum of its proper divisors (78278297110368).

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

38500120202112 is an equidigital number, since it uses as much as digits as its factorization.

38500120202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322083 (or 1322009 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 38500120202112 its reverse (21120202100583), we get a palindrome (59620322302695).

The spelling of 38500120202112 in words is "thirty-eight trillion, five hundred billion, one hundred twenty million, two hundred two thousand, one hundred twelve".