12402120 has 64 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 3283200.

The previous prime is 12402113. The next prime is 12402133. The reversal of 12402120 is 2120421.

12402120 = T₅₉ + T₆₀ + ... + T₄₂₀.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12402096 and 12402105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21435 + ... + 22005.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 2^12402120 is an apocalyptic number.

12402120 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 12402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

12402120 is an abundant number, since it is smaller than the sum of its proper divisors (25075320).

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

12402120 is a wasteful number, since it uses less digits than its factorization.

12402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12402120 is about 3521.6643792389. The cubic root of 12402120 is about 231.4720953697.

Adding to 12402120 its reverse (2120421), we get a palindrome (14522541).

The spelling of 12402120 in words is "twelve million, four hundred two thousand, one hundred twenty".