35120132204430 has 128 divisors (see below), whose sum is σ = 103762831269888. Its totient is φ = 7408293115392.

The previous prime is 35120132204413. The next prime is 35120132204431. The reversal of 35120132204430 is 3440223102153.

It is a super-2 number, since 2×35120132204430² (a number of 28 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 not an unprimeable number, because it can be changed into a prime (35120132204431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10693884 + ... + 13586736.

It is an arithmetic number, because the mean of its divisors is an integer number (810647119296).

Almost surely, 2^{35120132204430} is an apocalyptic number.

35120132204430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35120132204430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51881415634944).

35120132204430 is an abundant number, since it is smaller than the sum of its proper divisors (68642699065458).

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

35120132204430 is a wasteful number, since it uses less digits than its factorization.

35120132204430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897330.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 35120132204430 its reverse (3440223102153), we get a palindrome (38560355306583).

The spelling of 35120132204430 in words is "thirty-five trillion, one hundred twenty billion, one hundred thirty-two million, two hundred four thousand, four hundred thirty".