351435240120 has 128 divisors (see below), whose sum is σ = 1062411840000. Its totient is φ = 92996190720.

The previous prime is 351435240109. The next prime is 351435240131. The reversal of 351435240120 is 21042534153.

It is an interprime number because it is at equal distance from previous prime (351435240109) and next prime (351435240131).

It is a super-2 number, since 2×351435240120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46550106 + ... + 46557654.

It is an arithmetic number, because the mean of its divisors is an integer number (8300092500).

Almost surely, 2^351435240120 is an apocalyptic number.

351435240120 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 351435240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531205920000).

351435240120 is an abundant number, since it is smaller than the sum of its proper divisors (710976599880).

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

351435240120 is a wasteful number, since it uses less digits than its factorization.

351435240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10493 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 351435240120 its reverse (21042534153), we get a palindrome (372477774273).

The spelling of 351435240120 in words is "three hundred fifty-one billion, four hundred thirty-five million, two hundred forty thousand, one hundred twenty".