138221101200 has 1440 divisors, whose sum is σ = 604667965440. Its totient is φ = 26649907200.

The previous prime is 138221101163. The next prime is 138221101223. The reversal of 138221101200 is 2101122831.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 450231447 + ... + 450231753.

Almost surely, 2^138221101200 is an apocalyptic number.

138221101200 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 138221101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302333982720).

138221101200 is an abundant number, since it is smaller than the sum of its proper divisors (466446864240).

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

138221101200 is a wasteful number, since it uses less digits than its factorization.

138221101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 138221101200 in words is "one hundred thirty-eight billion, two hundred twenty-one million, one hundred one thousand, two hundred".