120142042360640 has 224 divisors, whose sum is σ = 289296391988736. Its totient is φ = 47521102233600.

The previous prime is 120142042360621. The next prime is 120142042360643. The reversal of 120142042360640 is 46063240241021.

It is a super-2 number, since 2×120142042360640² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120142042360640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120142042360643) 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, 22277401784 + ... + 22277407176.

Almost surely, 2^{120142042360640} is an apocalyptic number.

120142042360640 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 120142042360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144648195994368).

120142042360640 is an abundant number, since it is smaller than the sum of its proper divisors (169154349628096).

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

120142042360640 is a wasteful number, since it uses less digits than its factorization.

120142042360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7577 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 120142042360640 in words is "one hundred twenty trillion, one hundred forty-two billion, forty-two million, three hundred sixty thousand, six hundred forty".