122778000 has 240 divisors, whose sum is σ = 452649600. Its totient is φ = 30931200.

The previous prime is 122777983. The next prime is 122778013. The reversal of 122778000 is 877221.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341821 + ... + 342179.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^122778000 is an apocalyptic number.

122778000 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 122778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226324800).

122778000 is an abundant number, since it is smaller than the sum of its proper divisors (329871600).

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

122778000 is a wasteful number, since it uses less digits than its factorization.

122778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 122778000 is about 11080.5234533392. The cubic root of 122778000 is about 497.0196031009.

The spelling of 122778000 in words is "one hundred twenty-two million, seven hundred seventy-eight thousand".