11214755385120 has 384 divisors, whose sum is σ = 45774517824000. Its totient is φ = 2563372320768.

The previous prime is 11214755385019. The next prime is 11214755385161. The reversal of 11214755385120 is 2158355741211.

11214755385120 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 7 + 553 + 85 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2302509 + ... + 5266028.

It is an arithmetic number, because the mean of its divisors is an integer number (119204473500).

Almost surely, 2^{11214755385120} is an apocalyptic number.

11214755385120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11214755385120 is an abundant number, since it is smaller than the sum of its proper divisors (34559762438880).

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

11214755385120 is an equidigital number, since it uses as much as digits as its factorization.

11214755385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568582 (or 7568554 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 11214755385120 in words is "eleven trillion, two hundred fourteen billion, seven hundred fifty-five million, three hundred eighty-five thousand, one hundred twenty".