122747040 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 29472768.

The previous prime is 122747003. The next prime is 122747063. The reversal of 122747040 is 40747221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 122746995 and 122747013.

It is a congruent number.

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, 1478839 + ... + 1478921.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^122747040 is an apocalyptic number.

122747040 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 122747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

122747040 is an abundant number, since it is smaller than the sum of its proper divisors (339562080).

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

122747040 is a wasteful number, since it uses less digits than its factorization.

122747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 122747040 is about 11079.1263193449. The cubic root of 122747040 is about 496.9778230303.

The spelling of 122747040 in words is "one hundred twenty-two million, seven hundred forty-seven thousand, forty".