122151042240 has 224 divisors, whose sum is σ = 415632107520. Its totient is φ = 30315073536.

The previous prime is 122151042227. The next prime is 122151042271. The reversal of 122151042240 is 42240151221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122151042240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742201 + ... + 891719.

It is an arithmetic number, because the mean of its divisors is an integer number (1855500480).

Almost surely, 2^122151042240 is an apocalyptic number.

122151042240 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 122151042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207816053760).

122151042240 is an abundant number, since it is smaller than the sum of its proper divisors (293481065280).

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

122151042240 is a wasteful number, since it uses less digits than its factorization.

122151042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149599 (or 149589 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 122151042240 its reverse (42240151221), we get a palindrome (164391193461).

The spelling of 122151042240 in words is "one hundred twenty-two billion, one hundred fifty-one million, forty-two thousand, two hundred forty".