1052229813120 has 768 divisors, whose sum is σ = 4199889657600. Its totient is φ = 250177683456.

The previous prime is 1052229813091. The next prime is 1052229813149. The reversal of 1052229813120 is 213189222501.

1052229813120 is a `hidden beast` number, since 1 + 0 + 52 + 2 + 298 + 1 + 312 + 0 = 666.

1052229813120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1052229813091) and next prime (1052229813149).

It is a super-2 number, since 2×1052229813120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50222487 + ... + 50243433.

It is an arithmetic number, because the mean of its divisors is an integer number (5468606325).

Almost surely, 2^{1052229813120} is an apocalyptic number.

1052229813120 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 1052229813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099944828800).

1052229813120 is an abundant number, since it is smaller than the sum of its proper divisors (3147659844480).

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

1052229813120 is a wasteful number, since it uses less digits than its factorization.

1052229813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21017 (or 20993 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1052229813120 in words is "one trillion, fifty-two billion, two hundred twenty-nine million, eight hundred thirteen thousand, one hundred twenty".