20121139937052 has 768 divisors, whose sum is σ = 68882171904000. Its totient is φ = 4920870528000.

The previous prime is 20121139937029. The next prime is 20121139937081. The reversal of 20121139937052 is 25073993112102.

20121139937052 is a `hidden beast` number, since 20 + 12 + 113 + 99 + 370 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20121139936989 and 20121139937007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28703480302 + ... + 28703481002.

It is an arithmetic number, because the mean of its divisors is an integer number (89690328000).

Almost surely, 2^{20121139937052} is an apocalyptic number.

20121139937052 is a gapful number since it is divisible by the number (22) 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 20121139937052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34441085952000).

20121139937052 is an abundant number, since it is smaller than the sum of its proper divisors (48761031966948).

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

20121139937052 is a wasteful number, since it uses less digits than its factorization.

20121139937052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 20121139937052 in words is "twenty trillion, one hundred twenty-one billion, one hundred thirty-nine million, nine hundred thirty-seven thousand, fifty-two".