11121015544392 has 256 divisors, whose sum is σ = 30933139507200. Its totient is φ = 3310502952960.

The previous prime is 11121015544319. The next prime is 11121015544393. The reversal of 11121015544392 is 29344551012111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11121015544392.

It is not an unprimeable number, because it can be changed into a prime (11121015544393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754113163 + ... + 754127909.

It is an arithmetic number, because the mean of its divisors is an integer number (120832576200).

Almost surely, 2^{11121015544392} is an apocalyptic number.

11121015544392 is a gapful number since it is divisible by the number (12) 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 11121015544392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466569753600).

11121015544392 is an abundant number, since it is smaller than the sum of its proper divisors (19812123962808).

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

11121015544392 is a wasteful number, since it uses less digits than its factorization.

11121015544392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15476 (or 15472 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 11121015544392 in words is "eleven trillion, one hundred twenty-one billion, fifteen million, five hundred forty-four thousand, three hundred ninety-two".