120002211100002 has 256 divisors, whose sum is σ = 309814224224256. Its totient is φ = 30072700224000.

The previous prime is 120002211099983. The next prime is 120002211100003. The reversal of 120002211100002 is 200001112200021.

It is not an unprimeable number, because it can be changed into a prime (120002211100003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8528328627 + ... + 8528342697.

It is an arithmetic number, because the mean of its divisors is an integer number (1210211813376).

Almost surely, 2^{120002211100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002211100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154907112112128).

120002211100002 is an abundant number, since it is smaller than the sum of its proper divisors (189812013124254).

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

120002211100002 is a wasteful number, since it uses less digits than its factorization.

120002211100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15885.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120002211100002 its reverse (200001112200021), we get a palindrome (320003323300023).

The spelling of 120002211100002 in words is "one hundred twenty trillion, two billion, two hundred eleven million, one hundred thousand, two".