122581350 has 192 divisors, whose sum is σ = 366048000. Its totient is φ = 30443040.

The previous prime is 122581343. The next prime is 122581351. The reversal of 122581350 is 53185221.

It is a happy number.

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 (122581351) 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, 2077621 + ... + 2077679.

It is an arithmetic number, because the mean of its divisors is an integer number (1906500).

Almost surely, 2^122581350 is an apocalyptic number.

122581350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122581350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183024000).

122581350 is an abundant number, since it is smaller than the sum of its proper divisors (243466650).

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

122581350 is an equidigital number, since it uses as much as digits as its factorization.

122581350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 122581350 is about 11071.6462190588. The cubic root of 122581350 is about 496.7541072919.

The spelling of 122581350 in words is "one hundred twenty-two million, five hundred eighty-one thousand, three hundred fifty".