12029216791680 has 1536 divisors, whose sum is σ = 48209793166080. Its totient is φ = 2841462374400.

The previous prime is 12029216791663. The next prime is 12029216791727. The reversal of 12029216791680 is 8619761292021.

It is a happy number.

12029216791680 is a `hidden beast` number, since 120 + 292 + 1 + 6 + 79 + 168 + 0 = 666.

It is a super-4 number, since 4×12029216791680⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16410936594 + ... + 16410937326.

Almost surely, 2^{12029216791680} is an apocalyptic number.

12029216791680 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 12029216791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24104896583040).

12029216791680 is an abundant number, since it is smaller than the sum of its proper divisors (36180576374400).

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

12029216791680 is a wasteful number, since it uses less digits than its factorization.

12029216791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 12029216791680 in words is "twelve trillion, twenty-nine billion, two hundred sixteen million, seven hundred ninety-one thousand, six hundred eighty".