35400125121312 has 144 divisors (see below), whose sum is σ = 108105848424000. Its totient is φ = 10113475825152.

The previous prime is 35400125121287. The next prime is 35400125121353. The reversal of 35400125121312 is 21312152100453.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 35400125121312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57066189 + ... + 57683187.

It is an arithmetic number, because the mean of its divisors is an integer number (750735058500).

Almost surely, 2^{35400125121312} is an apocalyptic number.

35400125121312 is a gapful number since it is divisible by the number (32) 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 35400125121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54052924212000).

35400125121312 is an abundant number, since it is smaller than the sum of its proper divisors (72705723302688).

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

35400125121312 is a wasteful number, since it uses less digits than its factorization.

35400125121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629223 (or 629208 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 35400125121312 its reverse (21312152100453), we get a palindrome (56712277221765).

The spelling of 35400125121312 in words is "thirty-five trillion, four hundred billion, one hundred twenty-five million, one hundred twenty-one thousand, three hundred twelve".