12622962240 has 560 divisors, whose sum is σ = 53108352000. Its totient is φ = 2784595968.

The previous prime is 12622962239. The next prime is 12622962257. The reversal of 12622962240 is 4226922621.

It is a happy number.

12622962240 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 29 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×12622962240³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12622962195 and 12622962204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5260561 + ... + 5262959.

Almost surely, 2^12622962240 is an apocalyptic number.

12622962240 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 12622962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554176000).

12622962240 is an abundant number, since it is smaller than the sum of its proper divisors (40485389760).

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

12622962240 is a wasteful number, since it uses less digits than its factorization.

12622962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12622962240 in words is "twelve billion, six hundred twenty-two million, nine hundred sixty-two thousand, two hundred forty".