121122322132031 has 48 divisors (see below), whose sum is σ = 137167615754400. Its totient is φ = 106810970112000.

The previous prime is 121122322131983. The next prime is 121122322132109. The reversal of 121122322132031 is 130231223221121.

It is a de Polignac number, because none of the positive numbers 2^k-121122322132031 is a prime.

It is a super-2 number, since 2×121122322132031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122322122031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7443138311 + ... + 7443154583.

It is an arithmetic number, because the mean of its divisors is an integer number (2857658661550).

Almost surely, 2^{121122322132031} is an apocalyptic number.

121122322132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121122322132031 is a deficient number, since it is larger than the sum of its proper divisors (16045293622369).

121122322132031 is a wasteful number, since it uses less digits than its factorization.

121122322132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26088 (or 26077 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 121122322132031 its reverse (130231223221121), we get a palindrome (251353545353152).

The spelling of 121122322132031 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred thirty-two thousand, thirty-one".