122250783600 has 480 divisors, whose sum is σ = 477026254080. Its totient is φ = 29490048000.

The previous prime is 122250783593. The next prime is 122250783607. The reversal of 122250783600 is 6387052221.

122250783600 is a `hidden beast` number, since 1 + 2 + 225 + 0 + 78 + 360 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122250783593) and next prime (122250783607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122250783607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25064362 + ... + 25069238.

It is an arithmetic number, because the mean of its divisors is an integer number (993804696).

Almost surely, 2^122250783600 is an apocalyptic number.

122250783600 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 122250783600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238513127040).

122250783600 is an abundant number, since it is smaller than the sum of its proper divisors (354775470480).

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

122250783600 is a wasteful number, since it uses less digits than its factorization.

122250783600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 122250783600 in words is "one hundred twenty-two billion, two hundred fifty million, seven hundred eighty-three thousand, six hundred".