121400004121 has 16 divisors (see below), whose sum is σ = 140677699968. Its totient is φ = 103537619200.

The previous prime is 121400004113. The next prime is 121400004133.

It is a happy number.

121400004121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121400004121 - 2³ = 121400004113 is a prime.

It is a super-2 number, since 2×121400004121² (a number of 23 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 = 121400004095 and 121400004104.

It is not an unprimeable number, because it can be changed into a prime (121400004161) 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, 985570 + ... + 1101883.

It is an arithmetic number, because the mean of its divisors is an integer number (8792356248).

Almost surely, 2^121400004121 is an apocalyptic number.

121400004121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121400004121 is a deficient number, since it is larger than the sum of its proper divisors (19277695847).

121400004121 is a wasteful number, since it uses less digits than its factorization.

121400004121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087792.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 12140000 and 4121, that added together give a palindrome (12144121).

The spelling of 121400004121 in words is "one hundred twenty-one billion, four hundred million, four thousand, one hundred twenty-one".