122051040 has 96 divisors (see below), whose sum is σ = 388916640. Its totient is φ = 32169984.

The previous prime is 122050991. The next prime is 122051047. The reversal of 122051040 is 40150221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122051047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41292 + ... + 44148.

It is an arithmetic number, because the mean of its divisors is an integer number (4051215).

Almost surely, 2^122051040 is an apocalyptic number.

122051040 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 122051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194458320).

122051040 is an abundant number, since it is smaller than the sum of its proper divisors (266865600).

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

122051040 is a wasteful number, since it uses less digits than its factorization.

122051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 122051040 is about 11047.6712478241. The cubic root of 122051040 is about 496.0367211800.

The spelling of 122051040 in words is "one hundred twenty-two million, fifty-one thousand, forty".