1152055212000 has 768 divisors, whose sum is σ = 4730044999680. Its totient is φ = 238135296000.

The previous prime is 1152055211977. The next prime is 1152055212001. The reversal of 1152055212000 is 2125502511.

It is a super-2 number, since 2×1152055212000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152055212001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 182024836 + ... + 182031164.

It is an arithmetic number, because the mean of its divisors is an integer number (6158912760).

Almost surely, 2^{1152055212000} is an apocalyptic number.

1152055212000 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 1152055212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365022499840).

1152055212000 is an abundant number, since it is smaller than the sum of its proper divisors (3577989787680).

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

1152055212000 is a wasteful number, since it uses less digits than its factorization.

1152055212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 1152055212000 in words is "one trillion, one hundred fifty-two billion, fifty-five million, two hundred twelve thousand".