1012400121 has 8 divisors (see below), whose sum is σ = 1396414080. Its totient is φ = 651659792.

The previous prime is 1012400113. The next prime is 1012400141. The reversal of 1012400121 is 1210042101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012400121 - 2³ = 1012400113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012400097 and 1012400106.

It is not an unprimeable number, because it can be changed into a prime (1012400101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5818305 + ... + 5818478.

It is an arithmetic number, because the mean of its divisors is an integer number (174551760).

Almost surely, 2^1012400121 is an apocalyptic number.

It is an amenable number.

1012400121 is a deficient number, since it is larger than the sum of its proper divisors (384013959).

1012400121 is a wasteful number, since it uses less digits than its factorization.

1012400121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636815.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1012400121 is about 31818.2356676168. The cubic root of 1012400121 is about 1004.1164056209.

Adding to 1012400121 its reverse (1210042101), we get a palindrome (2222442222).

The spelling of 1012400121 in words is "one billion, twelve million, four hundred thousand, one hundred twenty-one".