11213055242400 has 144 divisors (see below), whose sum is σ = 39816539890848. Its totient is φ = 2718316416000.

The previous prime is 11213055242369. The next prime is 11213055242401. The reversal of 11213055242400 is 424255031211.

It is a super-3 number, since 3×11213055242400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (11213055242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212342071 + ... + 212394870.

It is an arithmetic number, because the mean of its divisors is an integer number (276503749242).

Almost surely, 2^{11213055242400} is an apocalyptic number.

11213055242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213055242400 is an abundant number, since it is smaller than the sum of its proper divisors (28603484648448).

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

11213055242400 is a wasteful number, since it uses less digits than its factorization.

11213055242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424736975 (or 424736962 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 11213055242400 in words is "eleven trillion, two hundred thirteen billion, fifty-five million, two hundred forty-two thousand, four hundred".