11950513122240 has 1120 divisors, whose sum is σ = 53267677056000. Its totient is φ = 2470662881280.

The previous prime is 11950513122211. The next prime is 11950513122263. The reversal of 11950513122240 is 4222131505911.

11950513122240 is a `hidden beast` number, since 1 + 1 + 9 + 50 + 51 + 312 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11950513122195 and 11950513122204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 397157116 + ... + 397187204.

Almost surely, 2^{11950513122240} is an apocalyptic number.

11950513122240 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 11950513122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26633838528000).

11950513122240 is an abundant number, since it is smaller than the sum of its proper divisors (41317163933760).

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

11950513122240 is a wasteful number, since it uses less digits than its factorization.

11950513122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335 (or 30316 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11950513122240 in words is "eleven trillion, nine hundred fifty billion, five hundred thirteen million, one hundred twenty-two thousand, two hundred forty".