4122123583536 has 240 divisors, whose sum is σ = 13507293406464. Its totient is φ = 1148959074816.

The previous prime is 4122123583489. The next prime is 4122123583549. The reversal of 4122123583536 is 6353853212214.

4122123583536 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 1 + 2 + 35 + 83 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4122123583491 and 4122123583500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35787990 + ... + 35902986.

Almost surely, 2^{4122123583536} 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 4122123583536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753646703232).

4122123583536 is an abundant number, since it is smaller than the sum of its proper divisors (9385169822928).

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

4122123583536 is a wasteful number, since it uses less digits than its factorization.

4122123583536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115888 (or 115879 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 4122123583536 in words is "four trillion, one hundred twenty-two billion, one hundred twenty-three million, five hundred eighty-three thousand, five hundred thirty-six".