1020188401200 has 240 divisors, whose sum is σ = 3631882544640. Its totient is φ = 271992741120.

The previous prime is 1020188401187. The next prime is 1020188401237. The reversal of 1020188401200 is 21048810201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1020188401200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 83186269 + ... + 83198531.

It is an arithmetic number, because the mean of its divisors is an integer number (15132843936).

Almost surely, 2^{1020188401200} is an apocalyptic number.

1020188401200 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 1020188401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815941272320).

1020188401200 is an abundant number, since it is smaller than the sum of its proper divisors (2611694143440).

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

1020188401200 is a wasteful number, since it uses less digits than its factorization.

1020188401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19993 (or 19976 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 1020188401200 in words is "one trillion, twenty billion, one hundred eighty-eight million, four hundred one thousand, two hundred".