2342133306120 has 128 divisors (see below), whose sum is σ = 7159540752000. Its totient is φ = 612775772160.

The previous prime is 2342133306113. The next prime is 2342133306127. The reversal of 2342133306120 is 216033312432.

It is an interprime number because it is at equal distance from previous prime (2342133306113) and next prime (2342133306127).

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 (2342133306127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3278760 + ... + 3928680.

It is an arithmetic number, because the mean of its divisors is an integer number (55933912125).

Almost surely, 2^{2342133306120} is an apocalyptic number.

2342133306120 is a gapful number since it is divisible by the number (20) 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 2342133306120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579770376000).

2342133306120 is an abundant number, since it is smaller than the sum of its proper divisors (4817407445880).

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

2342133306120 is a wasteful number, since it uses less digits than its factorization.

2342133306120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650503 (or 650499 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 2342133306120 its reverse (216033312432), we get a palindrome (2558166618552).

The spelling of 2342133306120 in words is "two trillion, three hundred forty-two billion, one hundred thirty-three million, three hundred six thousand, one hundred twenty".