196872243120 has 1440 divisors, whose sum is σ = 844685936640. Its totient is φ = 42430832640.

The previous prime is 196872243119. The next prime is 196872243149. The reversal of 196872243120 is 21342278691.

196872243120 is a `hidden beast` number, since 196 + 8 + 7 + 2 + 2 + 431 + 20 = 666.

It is a super-2 number, since 2×196872243120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1742232184 + ... + 1742232296.

It is an arithmetic number, because the mean of its divisors is an integer number (586587456).

Almost surely, 2^196872243120 is an apocalyptic number.

196872243120 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 196872243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422342968320).

196872243120 is an abundant number, since it is smaller than the sum of its proper divisors (647813693520).

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

196872243120 is a wasteful number, since it uses less digits than its factorization.

196872243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 196872243120 in words is "one hundred ninety-six billion, eight hundred seventy-two million, two hundred forty-three thousand, one hundred twenty".