36122822505 has 256 divisors, whose sum is σ = 81919918080. Its totient is φ = 14668646400.

The previous prime is 36122822503. The next prime is 36122822513. The reversal of 36122822505 is 50522822163.

It is a happy number.

36122822505 is a `hidden beast` number, since 3 + 6 + 122 + 8 + 22 + 505 = 666.

36122822505 is a nontrivial binomial coefficient, being equal to C(268786, 2).

It is not a de Polignac number, because 36122822505 - 2¹ = 36122822503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36122822505.

It is not an unprimeable number, because it can be changed into a prime (36122822503) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137349004 + ... + 137349266.

It is an arithmetic number, because the mean of its divisors is an integer number (319999680).

Almost surely, 2^36122822505 is an apocalyptic number.

36122822505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36122822505 is the 268785-th triangular number and also the 134393-rd hexagonal number.

It is an amenable number.

36122822505 is an abundant number, since it is smaller than the sum of its proper divisors (45797095575).

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

36122822505 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (36122822504) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (543).

36122822505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 36122822505 in words is "thirty-six billion, one hundred twenty-two million, eight hundred twenty-two thousand, five hundred five".