249007122 has 240 divisors, whose sum is σ = 741565440. Its totient is φ = 61725888.

The previous prime is 249007111. The next prime is 249007123. The reversal of 249007122 is 221700942.

249007122 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (249007123) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1960623 + ... + 1960749.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2^249007122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249007122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370782720).

249007122 is an abundant number, since it is smaller than the sum of its proper divisors (492558318).

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

249007122 is a wasteful number, since it uses less digits than its factorization.

249007122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 249007122 is about 15779.9595056515. The cubic root of 249007122 is about 629.1254532092.

The spelling of 249007122 in words is "two hundred forty-nine million, seven thousand, one hundred twenty-two".