20129944193712 has 800 divisors, whose sum is σ = 66263120174592. Its totient is φ = 5863921164288.

The previous prime is 20129944193699. The next prime is 20129944193759. The reversal of 20129944193712 is 21739144992102.

20129944193712 is a `hidden beast` number, since 2 + 0 + 12 + 99 + 441 + 93 + 7 + 12 = 666.

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 159 ways as a sum of consecutive naturals, for example, 10555816663 + ... + 10555818569.

Almost surely, 2^{20129944193712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20129944193712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33131560087296).

20129944193712 is an abundant number, since it is smaller than the sum of its proper divisors (46133175980880).

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

20129944193712 is a wasteful number, since it uses less digits than its factorization.

20129944193712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 20129944193712 in words is "twenty trillion, one hundred twenty-nine billion, nine hundred forty-four million, one hundred ninety-three thousand, seven hundred twelve".