20121001010992 has 160 divisors (see below), whose sum is σ = 45165244060800. Its totient is φ = 8505608601600.

The previous prime is 20121001010989. The next prime is 20121001011043. The reversal of 20121001010992 is 29901010012102.

It is a super-2 number, since 2×20121001010992² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20121001010992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6185366038 + ... + 6185369290.

It is an arithmetic number, because the mean of its divisors is an integer number (282282775380).

Almost surely, 2^{20121001010992} 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 20121001010992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22582622030400).

20121001010992 is an abundant number, since it is smaller than the sum of its proper divisors (25044243049808).

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

20121001010992 is a wasteful number, since it uses less digits than its factorization.

20121001010992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 20121001010992 in words is "twenty trillion, one hundred twenty-one billion, one million, ten thousand, nine hundred ninety-two".