2122400212131 has 16 divisors (see below), whose sum is σ = 2840041543680. Its totient is φ = 1409854653120.

The previous prime is 2122400212129. The next prime is 2122400212133. The reversal of 2122400212131 is 1312120042212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2122400212129) and next prime (2122400212133).

It is not a de Polignac number, because 2122400212131 - 2¹ = 2122400212129 is a prime.

It is a super-2 number, since 2×2122400212131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122400212098 and 2122400212107.

It is not an unprimeable number, because it can be changed into a prime (2122400212133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56595 + ... + 2061068.

It is an arithmetic number, because the mean of its divisors is an integer number (177502596480).

Almost surely, 2^{2122400212131} is an apocalyptic number.

2122400212131 is a deficient number, since it is larger than the sum of its proper divisors (717641331549).

2122400212131 is a wasteful number, since it uses less digits than its factorization.

2122400212131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118866.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2122400212131 its reverse (1312120042212), we get a palindrome (3434520254343).

The spelling of 2122400212131 in words is "two trillion, one hundred twenty-two billion, four hundred million, two hundred twelve thousand, one hundred thirty-one".