35120123130400 has 288 divisors, whose sum is σ = 106914890259072. Its totient is φ = 10944278323200.

The previous prime is 35120123130383. The next prime is 35120123130413. The reversal of 35120123130400 is 403132102153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312687052 + ... + 312799348.

It is an arithmetic number, because the mean of its divisors is an integer number (371232257844).

Almost surely, 2^{35120123130400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35120123130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53457445129536).

35120123130400 is an abundant number, since it is smaller than the sum of its proper divisors (71794767128672).

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

35120123130400 is a wasteful number, since it uses less digits than its factorization.

35120123130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117412 (or 117399 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 35120123130400 its reverse (403132102153), we get a palindrome (35523255232553).

The spelling of 35120123130400 in words is "thirty-five trillion, one hundred twenty billion, one hundred twenty-three million, one hundred thirty thousand, four hundred".