122783040 has 168 divisors, whose sum is σ = 438241440. Its totient is φ = 32721408.

The previous prime is 122782991. The next prime is 122783047. The reversal of 122783040 is 40387221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122782995 and 122783013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122783047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76971 + ... + 78549.

It is an arithmetic number, because the mean of its divisors is an integer number (2608580).

Almost surely, 2^122783040 is an apocalyptic number.

122783040 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 122783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219120720).

122783040 is an abundant number, since it is smaller than the sum of its proper divisors (315458400).

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

122783040 is an equidigital number, since it uses as much as digits as its factorization.

122783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122783040 is about 11080.7508770841. The cubic root of 122783040 is about 497.0264038429.

The spelling of 122783040 in words is "one hundred twenty-two million, seven hundred eighty-three thousand, forty".