2142133113120 has 384 divisors, whose sum is σ = 9059876904960. Its totient is φ = 410878586880.

The previous prime is 2142133113103. The next prime is 2142133113157. The reversal of 2142133113120 is 213113312412.

It is a super-2 number, since 2×2142133113120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1748680 + ... + 2709639.

It is an arithmetic number, because the mean of its divisors is an integer number (23593429440).

Almost surely, 2^{2142133113120} is an apocalyptic number.

2142133113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142133113120 is an abundant number, since it is smaller than the sum of its proper divisors (6917743791840).

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

2142133113120 is a wasteful number, since it uses less digits than its factorization.

2142133113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458368 (or 4458360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 2142133113120 its reverse (213113312412), we get a palindrome (2355246425532).

The spelling of 2142133113120 in words is "two trillion, one hundred forty-two billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty".