2121012313040 has 80 divisors (see below), whose sum is σ = 5027902516560. Its totient is φ = 831954862080.

The previous prime is 2121012313039. The next prime is 2121012313081. The reversal of 2121012313040 is 403132101212.

It can be written as a sum of positive squares in 8 ways, for example, as 128318702656 + 1992693610384 = 358216^2 + 1411628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407951 + ... + 2099630.

It is an arithmetic number, because the mean of its divisors is an integer number (62848781457).

Almost surely, 2^{2121012313040} is an apocalyptic number.

2121012313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121012313040 is an abundant number, since it is smaller than the sum of its proper divisors (2906890203520).

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

2121012313040 is a wasteful number, since it uses less digits than its factorization.

2121012313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507800 (or 2507794 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2121012313040 its reverse (403132101212), we get a palindrome (2524144414252).

The spelling of 2121012313040 in words is "two trillion, one hundred twenty-one billion, twelve million, three hundred thirteen thousand, forty".