117251213040 has 720 divisors, whose sum is σ = 448264121760. Its totient is φ = 28466380800.

The previous prime is 117251212993. The next prime is 117251213059. The reversal of 117251213040 is 40312152711.

117251213040 is a `hidden beast` number, since 1 + 17 + 2 + 512 + 130 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117251212995 and 117251213013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292396840 + ... + 292397240.

It is an arithmetic number, because the mean of its divisors is an integer number (622589058).

Almost surely, 2^117251213040 is an apocalyptic number.

117251213040 is a gapful number since it is divisible by the number (10) 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 117251213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224132060880).

117251213040 is an abundant number, since it is smaller than the sum of its proper divisors (331012908720).

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

117251213040 is a wasteful number, since it uses less digits than its factorization.

117251213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 117251213040 its reverse (40312152711), we get a palindrome (157563365751).

The spelling of 117251213040 in words is "one hundred seventeen billion, two hundred fifty-one million, two hundred thirteen thousand, forty".