1152200050400 has 144 divisors (see below), whose sum is σ = 3215095470720. Its totient is φ = 394983820800.

The previous prime is 1152200050357. The next prime is 1152200050403. The reversal of 1152200050400 is 40500022511.

It is a super-2 number, since 2×1152200050400² (a number of 25 digits) contains 22 as substring.

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 (1152200050403) 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, 65684831 + ... + 65702369.

It is an arithmetic number, because the mean of its divisors is an integer number (22327051880).

Almost surely, 2^{1152200050400} is an apocalyptic number.

1152200050400 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 1152200050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607547735360).

1152200050400 is an abundant number, since it is smaller than the sum of its proper divisors (2062895420320).

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

1152200050400 is a wasteful number, since it uses less digits than its factorization.

1152200050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29297 (or 29284 counting only the distinct ones).

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

Adding to 1152200050400 its reverse (40500022511), we get a palindrome (1192700072911).

The spelling of 1152200050400 in words is "one trillion, one hundred fifty-two billion, two hundred million, fifty thousand, four hundred".