12622303676400 has 240 divisors, whose sum is σ = 44352919648128. Its totient is φ = 3043046016000.

The previous prime is 12622303676369. The next prime is 12622303676413. The reversal of 12622303676400 is 467630322621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×12622303676400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252334 + ... + 5030733.

Almost surely, 2^{12622303676400} is an apocalyptic number.

12622303676400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12622303676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176459824064).

12622303676400 is an abundant number, since it is smaller than the sum of its proper divisors (31730615971728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12622303676400 is a wasteful number, since it uses less digits than its factorization.

12622303676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283280 (or 5283269 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 12622303676400 in words is "twelve trillion, six hundred twenty-two billion, three hundred three million, six hundred seventy-six thousand, four hundred".