2120121012006 has 24 divisors (see below), whose sum is σ = 4609827323400. Its totient is φ = 704209804416.

The previous prime is 2120121011993. The next prime is 2120121012043. The reversal of 2120121012006 is 6002101210212.

It is a super-2 number, since 2×2120121012006² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2120121012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208094731 + ... + 208104918.

It is an arithmetic number, because the mean of its divisors is an integer number (192076138475).

Almost surely, 2^{2120121012006} is an apocalyptic number.

2120121012006 is an abundant number, since it is smaller than the sum of its proper divisors (2489706311394).

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

2120121012006 is a wasteful number, since it uses less digits than its factorization.

2120121012006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416199940 (or 416199937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2120121012006 its reverse (6002101210212), we get a palindrome (8122222222218).

The spelling of 2120121012006 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, twelve thousand, six".