12622500 has 240 divisors, whose sum is σ = 47234880. Its totient is φ = 2880000.

The previous prime is 12622499. The next prime is 12622507. The reversal of 12622500 is 522621.

12622500 = T₁₀₁ + T₁₀₂ + ... + T₄₂₄.

It is a super-3 number, since 3×12622500³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12622507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 742492 + ... + 742508.

It is an arithmetic number, because the mean of its divisors is an integer number (196812).

Almost surely, 2^12622500 is an apocalyptic number.

12622500 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 12622500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617440).

12622500 is an abundant number, since it is smaller than the sum of its proper divisors (34612380).

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

12622500 is a wasteful number, since it uses less digits than its factorization.

12622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12622500 is about 3552.8157846981. The cubic root of 12622500 is about 232.8351047072.

The spelling of 12622500 in words is "twelve million, six hundred twenty-two thousand, five hundred".