122002848000 has 1080 divisors, whose sum is σ = 500319139320. Its totient is φ = 29500416000.

The previous prime is 122002847999. The next prime is 122002848007. The reversal of 122002848000 is 848200221.

It can be written as a sum of positive squares in 4 ways, for example, as 14492307456 + 107510540544 = 120384^2 + 327888^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×122002848000² (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 not an unprimeable number, because it can be changed into a prime (122002848007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 313631806 + ... + 313632194.

Almost surely, 2^122002848000 is an apocalyptic number.

122002848000 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 122002848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250159569660).

122002848000 is an abundant number, since it is smaller than the sum of its proper divisors (378316291320).

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

122002848000 is an equidigital number, since it uses as much as digits as its factorization.

122002848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

It can be divided in two parts, 1220028 and 48000, that added together give a triangular number (1268028 = T₁₅₉₂).

The spelling of 122002848000 in words is "one hundred twenty-two billion, two million, eight hundred forty-eight thousand".