1012142045200 has 240 divisors, whose sum is σ = 2874341405376. Its totient is φ = 337652582400.

The previous prime is 1012142045197. The next prime is 1012142045219. The reversal of 1012142045200 is 25402412101.

1012142045200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 9269322 + ... + 9377878.

Almost surely, 2^{1012142045200} is an apocalyptic number.

1012142045200 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 1012142045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437170702688).

1012142045200 is an abundant number, since it is smaller than the sum of its proper divisors (1862199360176).

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

1012142045200 is a wasteful number, since it uses less digits than its factorization.

1012142045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108762 (or 108751 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1012142045200 its reverse (25402412101), we get a palindrome (1037544457301).

The spelling of 1012142045200 in words is "one trillion, twelve billion, one hundred forty-two million, forty-five thousand, two hundred".