11442100120000 has 280 divisors, whose sum is σ = 31258602132912. Its totient is φ = 4119552000000.

The previous prime is 11442100119959. The next prime is 11442100120093. The reversal of 11442100120000 is 2100124411.

It is a happy number.

It is a super-2 number, since 2×11442100120000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44311264 + ... + 44568736.

Almost surely, 2^{11442100120000} is an apocalyptic number.

11442100120000 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 11442100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629301066456).

11442100120000 is an abundant number, since it is smaller than the sum of its proper divisors (19816502012912).

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

11442100120000 is a wasteful number, since it uses less digits than its factorization.

11442100120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257617 (or 257592 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11442100120000 its reverse (2100124411), we get a palindrome (11444200244411).

The spelling of 11442100120000 in words is "eleven trillion, four hundred forty-two billion, one hundred million, one hundred twenty thousand".