104220161136000 has 5376 divisors, whose sum is σ = 495468489297600. Its totient is φ = 21724377292800.

The previous prime is 104220161135821. The next prime is 104220161136053. The reversal of 104220161136000 is 631161022401.

It is a happy number.

104220161136000 is a `hidden beast` number, since 1 + 0 + 42 + 2 + 0 + 1 + 6 + 1 + 13 + 600 + 0 = 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 671 ways as a sum of consecutive naturals, for example, 1255664591959 + ... + 1255664592041.

Almost surely, 2^{104220161136000} is an apocalyptic number.

104220161136000 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 104220161136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247734244648800).

104220161136000 is an abundant number, since it is smaller than the sum of its proper divisors (391248328161600).

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

104220161136000 is an frugal number, since it uses more digits than its factorization.

104220161136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 104220161136000 in words is "one hundred four trillion, two hundred twenty billion, one hundred sixty-one million, one hundred thirty-six thousand".