122320452240 has 1800 divisors, whose sum is σ = 554516151552. Its totient is φ = 24873246720.

The previous prime is 122320452217. The next prime is 122320452251. The reversal of 122320452240 is 42254023221.

It is a super-3 number, since 3×122320452240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2844661659 + ... + 2844661701.

Almost surely, 2^122320452240 is an apocalyptic number.

122320452240 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 122320452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277258075776).

122320452240 is an abundant number, since it is smaller than the sum of its proper divisors (432195699312).

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

122320452240 is a wasteful number, since it uses less digits than its factorization.

122320452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 122320452240 its reverse (42254023221), we get a palindrome (164574475461).

The spelling of 122320452240 in words is "one hundred twenty-two billion, three hundred twenty million, four hundred fifty-two thousand, two hundred forty".