122150073600 has 486 divisors, whose sum is σ = 453643627710. Its totient is φ = 32562155520.

The previous prime is 122150073583. The next prime is 122150073601. The reversal of 122150073600 is 6370051221.

It is a happy number.

122150073600 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 50 + 0 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23785042176 + 98365031424 = 154224^2 + 313632^2 .

It is a tau number, because it is divible by the number of its divisors (486).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122150073601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41988946 + ... + 41991854.

Almost surely, 2^122150073600 is an apocalyptic number.

122150073600 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 122150073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226821813855).

122150073600 is an abundant number, since it is smaller than the sum of its proper divisors (331493554110).

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

122150073600 is an frugal number, since it uses more digits than its factorization.

122150073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 122150073600 in words is "one hundred twenty-two billion, one hundred fifty million, seventy-three thousand, six hundred".