1012420125200 has 240 divisors, whose sum is σ = 2749917029760. Its totient is φ = 354816000000.

The previous prime is 1012420125181. The next prime is 1012420125251. The reversal of 1012420125200 is 25210242101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73618325 + ... + 73632075.

It is an arithmetic number, because the mean of its divisors is an integer number (11457987624).

Almost surely, 2^{1012420125200} is an apocalyptic number.

1012420125200 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 1012420125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374958514880).

1012420125200 is an abundant number, since it is smaller than the sum of its proper divisors (1737496904560).

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

1012420125200 is a wasteful number, since it uses less digits than its factorization.

1012420125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1012420125200 its reverse (25210242101), we get a palindrome (1037630367301).

The spelling of 1012420125200 in words is "one trillion, twelve billion, four hundred twenty million, one hundred twenty-five thousand, two hundred".