12641420 has 48 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 4469760.

The previous prime is 12641411. The next prime is 12641429. The reversal of 12641420 is 2414621.

12641420 = T₂₂₃ + T₂₂₄ + ... + T₄₄₂.

It is an interprime number because it is at equal distance from previous prime (12641411) and next prime (12641429).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12641392 and 12641401.

It is not an unprimeable number, because it can be changed into a prime (12641429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7364 + ... + 8916.

It is an arithmetic number, because the mean of its divisors is an integer number (620046).

Almost surely, 2^12641420 is an apocalyptic number.

12641420 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 12641420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881104).

12641420 is an abundant number, since it is smaller than the sum of its proper divisors (17120788).

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

12641420 is a wasteful number, since it uses less digits than its factorization.

12641420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12641420 is about 3555.4774644202. The cubic root of 12641420 is about 232.9513796393.

The spelling of 12641420 in words is "twelve million, six hundred forty-one thousand, four hundred twenty".