142120051040000 has 720 divisors, whose sum is σ = 391621140320256. Its totient is φ = 51028992000000.

The previous prime is 142120051039991. The next prime is 142120051040029. The reversal of 142120051040000 is 40150021241.

It is a happy number.

It is a super-2 number, since 2×142120051040000² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 50739038600 + ... + 50739041400.

Almost surely, 2^{142120051040000} is an apocalyptic number.

142120051040000 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 142120051040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195810570160128).

142120051040000 is an abundant number, since it is smaller than the sum of its proper divisors (249501089280256).

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

142120051040000 is a wasteful number, since it uses less digits than its factorization.

142120051040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 142120051040000 in words is "one hundred forty-two trillion, one hundred twenty billion, fifty-one million, forty thousand".