122152147200 has 540 divisors, whose sum is σ = 456319457748. Its totient is φ = 32237568000.

The previous prime is 122152147193. The next prime is 122152147223. The reversal of 122152147200 is 2741251221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 613453824 + 121538693376 = 24768^2 + 348624^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×122152147200² (a number of 23 digits) contains 22 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 59 ways as a sum of consecutive naturals, for example, 52357234 + ... + 52359566.

Almost surely, 2^122152147200 is an apocalyptic number.

122152147200 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 122152147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228159728874).

122152147200 is an abundant number, since it is smaller than the sum of its proper divisors (334167310548).

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

122152147200 is a wasteful number, since it uses less digits than its factorization.

122152147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 122152147200 its reverse (2741251221), we get a palindrome (124893398421).

The spelling of 122152147200 in words is "one hundred twenty-two billion, one hundred fifty-two million, one hundred forty-seven thousand, two hundred".