20121693773472 has 480 divisors, whose sum is σ = 60549969553920. Its totient is φ = 6553299271680.

The previous prime is 20121693773399. The next prime is 20121693773513. The reversal of 20121693773472 is 27437739612102.

20121693773472 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 16 + 93 + 7 + 73 + 472 = 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 79 ways as a sum of consecutive naturals, for example, 27985665529 + ... + 27985666247.

It is an arithmetic number, because the mean of its divisors is an integer number (126145769904).

Almost surely, 2^{20121693773472} 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 20121693773472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30274984776960).

20121693773472 is an abundant number, since it is smaller than the sum of its proper divisors (40428275780448).

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

20121693773472 is a wasteful number, since it uses less digits than its factorization.

20121693773472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 20121693773472 in words is "twenty trillion, one hundred twenty-one billion, six hundred ninety-three million, seven hundred seventy-three thousand, four hundred seventy-two".