35145122124 has 96 divisors (see below), whose sum is σ = 99452989440. Its totient is φ = 9442052928.

The previous prime is 35145122119. The next prime is 35145122153. The reversal of 35145122124 is 42122154153.

It is a super-2 number, since 2×35145122124² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35145122091 and 35145122100.

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, 40174 + ... + 268149.

It is an arithmetic number, because the mean of its divisors is an integer number (1035968640).

Almost surely, 2^35145122124 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 35145122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49726494720).

35145122124 is an abundant number, since it is smaller than the sum of its proper divisors (64307867316).

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

35145122124 is a wasteful number, since it uses less digits than its factorization.

35145122124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308419 (or 308417 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

Adding to 35145122124 its reverse (42122154153), we get a palindrome (77267276277).

The spelling of 35145122124 in words is "thirty-five billion, one hundred forty-five million, one hundred twenty-two thousand, one hundred twenty-four".