12192069120 has 640 divisors, whose sum is σ = 49638251520. Its totient is φ = 2479226880.

The previous prime is 12192069119. The next prime is 12192069139. The reversal of 12192069120 is 2196029121.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31341886 + ... + 31342274.

It is an arithmetic number, because the mean of its divisors is an integer number (77559768).

Almost surely, 2^12192069120 is an apocalyptic number.

12192069120 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 12192069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819125760).

12192069120 is an abundant number, since it is smaller than the sum of its proper divisors (37446182400).

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

12192069120 is a wasteful number, since it uses less digits than its factorization.

12192069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 12192069120 in words is "twelve billion, one hundred ninety-two million, sixty-nine thousand, one hundred twenty".