11245215252000 has 384 divisors, whose sum is σ = 37089636030720. Its totient is φ = 2978399846400.

The previous prime is 11245215251969. The next prime is 11245215252079. The reversal of 11245215252000 is 25251254211.

11245215252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1581824446 + ... + 1581831554.

It is an arithmetic number, because the mean of its divisors is an integer number (96587593830).

Almost surely, 2^{11245215252000} is an apocalyptic number.

11245215252000 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 11245215252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544818015360).

11245215252000 is an abundant number, since it is smaller than the sum of its proper divisors (25844420778720).

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

11245215252000 is a wasteful number, since it uses less digits than its factorization.

11245215252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013 (or 7995 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 11245215252000 in words is "eleven trillion, two hundred forty-five billion, two hundred fifteen million, two hundred fifty-two thousand".