121121323200031 has 16 divisors (see below), whose sum is σ = 151008737690880. Its totient is φ = 94380042631680.

The previous prime is 121121323200029. The next prime is 121121323200037. The reversal of 121121323200031 is 130002323121121.

It is a cyclic number.

It is not a de Polignac number, because 121121323200031 - 2¹ = 121121323200029 is a prime.

It is a super-2 number, since 2×121121323200031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121121323199975 and 121121323200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121323200037) 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, 39518880 + ... + 42473338.

It is an arithmetic number, because the mean of its divisors is an integer number (9438046105680).

Almost surely, 2^{121121323200031} is an apocalyptic number.

121121323200031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121121323200031 is a deficient number, since it is larger than the sum of its proper divisors (29887414490849).

121121323200031 is a wasteful number, since it uses less digits than its factorization.

121121323200031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486894.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121121323200031 its reverse (130002323121121), we get a palindrome (251123646321152).

The spelling of 121121323200031 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, three hundred twenty-three million, two hundred thousand, thirty-one".