388221135120 has 1680 divisors, whose sum is σ = 1778626553472. Its totient is φ = 76859228160.

The previous prime is 388221135109. The next prime is 388221135121. The reversal of 388221135120 is 21531122883.

388221135120 is a `hidden beast` number, since 3 + 8 + 8 + 22 + 113 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×388221135120² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (388221135121) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1172873355 + ... + 1172873685.

Almost surely, 2^388221135120 is an apocalyptic number.

388221135120 is a gapful number since it is divisible by the number (30) 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 388221135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889313276736).

388221135120 is an abundant number, since it is smaller than the sum of its proper divisors (1390405418352).

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

388221135120 is a wasteful number, since it uses less digits than its factorization.

388221135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 388221135120 in words is "three hundred eighty-eight billion, two hundred twenty-one million, one hundred thirty-five thousand, one hundred twenty".