142271286315312 has 2160 divisors, whose sum is σ = 516756291587712. Its totient is φ = 33620723136000.

The previous prime is 142271286315287. The next prime is 142271286315313. The reversal of 142271286315312 is 213513682172241.

It is a super-2 number, since 2×142271286315312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (142271286315313) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1086040353487 + ... + 1086040353617.

Almost surely, 2^{142271286315312} is an apocalyptic number.

142271286315312 is a gapful number since it is divisible by the number (12) 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 142271286315312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258378145793856).

142271286315312 is an abundant number, since it is smaller than the sum of its proper divisors (374485005272400).

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

142271286315312 is a wasteful number, since it uses less digits than its factorization.

142271286315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 204 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 142271286315312 in words is "one hundred forty-two trillion, two hundred seventy-one billion, two hundred eighty-six million, three hundred fifteen thousand, three hundred twelve".