4122192150720 has 560 divisors, whose sum is σ = 16864984994880. Its totient is φ = 936207507456.

The previous prime is 4122192150677. The next prime is 4122192150743. The reversal of 4122192150720 is 270512912214.

It is a happy number.

4122192150720 is a `hidden beast` number, since 4 + 122 + 1 + 9 + 2 + 1 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28413726 + ... + 28558434.

Almost surely, 2^{4122192150720} is an apocalyptic number.

4122192150720 is a gapful number since it is divisible by the number (40) 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 4122192150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432492497440).

4122192150720 is an abundant number, since it is smaller than the sum of its proper divisors (12742792844160).

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

4122192150720 is a wasteful number, since it uses less digits than its factorization.

4122192150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144902 (or 144883 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 4122192150720 in words is "four trillion, one hundred twenty-two billion, one hundred ninety-two million, one hundred fifty thousand, seven hundred twenty".