1022015205200 has 120 divisors (see below), whose sum is σ = 2692071595200. Its totient is φ = 369774028800.

The previous prime is 1022015205191. The next prime is 1022015205209. The reversal of 1022015205200 is 25025102201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022015205191) and next prime (1022015205209).

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 (1022015205209) 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, 291992 + ... + 1459208.

It is an arithmetic number, because the mean of its divisors is an integer number (22433929960).

Almost surely, 2^{1022015205200} is an apocalyptic number.

1022015205200 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 1022015205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346035797600).

1022015205200 is an abundant number, since it is smaller than the sum of its proper divisors (1670056390000).

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

1022015205200 is a wasteful number, since it uses less digits than its factorization.

1022015205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167445 (or 1167434 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 1022015205200 in words is "one trillion, twenty-two billion, fifteen million, two hundred five thousand, two hundred".