4122145120500 has 480 divisors, whose sum is σ = 14685158936448. Its totient is φ = 998355456000.

The previous prime is 4122145120487. The next prime is 4122145120547. The reversal of 4122145120500 is 50215412214.

It is a happy number.

4122145120500 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 1 + 451 + 205 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 542169699 + ... + 542177301.

Almost surely, 2^{4122145120500} 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 4122145120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7342579468224).

4122145120500 is an abundant number, since it is smaller than the sum of its proper divisors (10563013815948).

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

4122145120500 is a wasteful number, since it uses less digits than its factorization.

4122145120500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 4122145120500 in words is "four trillion, one hundred twenty-two billion, one hundred forty-five million, one hundred twenty thousand, five hundred".