336407142120 has 256 divisors, whose sum is σ = 1217522880000. Its totient is φ = 74241312768.

The previous prime is 336407142101. The next prime is 336407142133. The reversal of 336407142120 is 21241704633.

It is a super-2 number, since 2×336407142120² (a number of 24 digits) contains 22 as substring.

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, 1052724 + ... + 1334556.

It is an arithmetic number, because the mean of its divisors is an integer number (4755948750).

Almost surely, 2^336407142120 is an apocalyptic number.

336407142120 is a gapful number since it is divisible by the number (30) 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 336407142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608761440000).

336407142120 is an abundant number, since it is smaller than the sum of its proper divisors (881115737880).

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

336407142120 is a wasteful number, since it uses less digits than its factorization.

336407142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281897 (or 281879 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 336407142120 its reverse (21241704633), we get a palindrome (357648846753).

The spelling of 336407142120 in words is "three hundred thirty-six billion, four hundred seven million, one hundred forty-two thousand, one hundred twenty".