11342120114000 has 160 divisors (see below), whose sum is σ = 29641523716896. Its totient is φ = 4172738457600.

The previous prime is 11342120113999. The next prime is 11342120114021. The reversal of 11342120114000 is 41102124311.

It can be written as a sum of positive squares in 16 ways, for example, as 10857130440256 + 484989673744 = 3295016^2 + 696412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6414572 + ... + 7989428.

Almost surely, 2^{11342120114000} is an apocalyptic number.

11342120114000 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 11342120114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820761858448).

11342120114000 is an abundant number, since it is smaller than the sum of its proper divisors (18299403602896).

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

11342120114000 is a wasteful number, since it uses less digits than its factorization.

11342120114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575170 (or 1575154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11342120114000 its reverse (41102124311), we get a palindrome (11383222238311).

The spelling of 11342120114000 in words is "eleven trillion, three hundred forty-two billion, one hundred twenty million, one hundred fourteen thousand".