122077728 has 72 divisors (see below), whose sum is σ = 351409968. Its totient is φ = 40194432.

The previous prime is 122077727. The next prime is 122077729. The reversal of 122077728 is 827770221.

It is an interprime number because it is at equal distance from previous prime (122077727) and next prime (122077729).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 122077692 and 122077701.

It is not an unprimeable number, because it can be changed into a prime (122077727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21351 + ... + 26457.

It is an arithmetic number, because the mean of its divisors is an integer number (4880694).

Almost surely, 2^122077728 is an apocalyptic number.

122077728 is a gapful number since it is divisible by the number (18) 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 122077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175704984).

122077728 is an abundant number, since it is smaller than the sum of its proper divisors (229332240).

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

122077728 is a wasteful number, since it uses less digits than its factorization.

122077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 122077728 is about 11048.8790381649. The cubic root of 122077728 is about 496.0728734412.

The spelling of 122077728 in words is "one hundred twenty-two million, seventy-seven thousand, seven hundred twenty-eight".