412132013300 has 72 divisors (see below), whose sum is σ = 1022901405120. Its totient is φ = 141189868800.

The previous prime is 412132013291. The next prime is 412132013309. The reversal of 412132013300 is 3310231214.

It is an interprime number because it is at equal distance from previous prime (412132013291) and next prime (412132013309).

It is a super-2 number, since 2×412132013300² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412132013309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647480 + ... + 1115120.

It is an arithmetic number, because the mean of its divisors is an integer number (14206963960).

Almost surely, 2^412132013300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412132013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511450702560).

412132013300 is an abundant number, since it is smaller than the sum of its proper divisors (610769391820).

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

412132013300 is a wasteful number, since it uses less digits than its factorization.

412132013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468921 (or 468914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 412132013300 its reverse (3310231214), we get a palindrome (415442244514).

The spelling of 412132013300 in words is "four hundred twelve billion, one hundred thirty-two million, thirteen thousand, three hundred".