12029971712220 has 1728 divisors, whose sum is σ = 50233544847360. Its totient is φ = 2378242944000.

The previous prime is 12029971712219. The next prime is 12029971712293. The reversal of 12029971712220 is 2221717992021.

12029971712220 is a `hidden beast` number, since 1 + 2 + 0 + 299 + 71 + 71 + 2 + 220 = 666.

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 575 ways as a sum of consecutive naturals, for example, 6054338067 + ... + 6054340053.

Almost surely, 2^{12029971712220} is an apocalyptic number.

12029971712220 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 12029971712220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116772423680).

12029971712220 is an abundant number, since it is smaller than the sum of its proper divisors (38203573135140).

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

12029971712220 is a wasteful number, since it uses less digits than its factorization.

12029971712220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 12029971712220 in words is "twelve trillion, twenty-nine billion, nine hundred seventy-one million, seven hundred twelve thousand, two hundred twenty".