121284008253 has 48 divisors (see below), whose sum is σ = 185835686400. Its totient is φ = 76088315520.

The previous prime is 121284008243. The next prime is 121284008281. The reversal of 121284008253 is 352800482121.

It is a happy number.

121284008253 is a `hidden beast` number, since 1 + 2 + 128 + 400 + 82 + 53 = 666.

It is not a de Polignac number, because 121284008253 - 2¹² = 121284004157 is a prime.

It is a super-2 number, since 2×121284008253² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121284008203) 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, 32092318 + ... + 32096096.

It is an arithmetic number, because the mean of its divisors is an integer number (3871576800).

Almost surely, 2^121284008253 is an apocalyptic number.

It is an amenable number.

121284008253 is a deficient number, since it is larger than the sum of its proper divisors (64551678147).

121284008253 is a wasteful number, since it uses less digits than its factorization.

121284008253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 121284008253 in words is "one hundred twenty-one billion, two hundred eighty-four million, eight thousand, two hundred fifty-three".