1052227721000 has 64 divisors (see below), whose sum is σ = 2465206548480. Its totient is φ = 420379348800.

The previous prime is 1052227720969. The next prime is 1052227721029. The reversal of 1052227721000 is 1277222501.

It is a super-2 number, since 2×1052227721000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183737 + ... + 1462263.

It is an arithmetic number, because the mean of its divisors is an integer number (38518852320).

Almost surely, 2^{1052227721000} is an apocalyptic number.

1052227721000 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 1052227721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232603274240).

1052227721000 is an abundant number, since it is smaller than the sum of its proper divisors (1412978827480).

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

1052227721000 is a wasteful number, since it uses less digits than its factorization.

1052227721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279371 (or 1279357 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The spelling of 1052227721000 in words is "one trillion, fifty-two billion, two hundred twenty-seven million, seven hundred twenty-one thousand".