1052200012032 has 288 divisors, whose sum is σ = 3458992194560. Its totient is φ = 313309347840.

The previous prime is 1052200012027. The next prime is 1052200012033. The reversal of 1052200012032 is 2302100022501.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1052200012032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1052200011996 and 1052200012014.

It is not an unprimeable number, because it can be changed into a prime (1052200012033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596668 + ... + 2974404.

Almost surely, 2^{1052200012032} is an apocalyptic number.

1052200012032 is a gapful number since it is divisible by the number (12) 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 1052200012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729496097280).

1052200012032 is an abundant number, since it is smaller than the sum of its proper divisors (2406792182528).

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

1052200012032 is a wasteful number, since it uses less digits than its factorization.

1052200012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377806 (or 377786 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1052200012032 its reverse (2302100022501), we get a palindrome (3354300034533).

The spelling of 1052200012032 in words is "one trillion, fifty-two billion, two hundred million, twelve thousand, thirty-two".