122261040 has 240 divisors, whose sum is σ = 459613440. Its totient is φ = 28869120.

The previous prime is 122261033. The next prime is 122261099. The reversal of 122261040 is 40162221.

122261040 is a `hidden beast` number, since 12 + 2 + 2 + 610 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 340381 + ... + 340739.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^122261040 is an apocalyptic number.

122261040 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 122261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

122261040 is an abundant number, since it is smaller than the sum of its proper divisors (337352400).

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

122261040 is a wasteful number, since it uses less digits than its factorization.

122261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122261040 is about 11057.1714285345. The cubic root of 122261040 is about 496.3210503839.

It can be divided in two parts, 122 and 261040, that added together give a palindrome (261162).

The spelling of 122261040 in words is "one hundred twenty-two million, two hundred sixty-one thousand, forty".