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120210022202112 = 283237260916257
BaseRepresentation
bin11011010101010010010011…
…101010111111101100000000
3120202121222002010121100010200
4123111102103222333230000
5111224010111140431422
61103355415525325200
734214613261353253
oct3325222352775400
9522558063540120
10120210022202112
1135336869734177
1211595611266800
13520c9aac0ab4b
1421982a621309a
15dd6e128c12ac
hex6d5493abfb00

120210022202112 has 324 divisors, whose sum is σ = 356331161394936. Its totient is φ = 38974403543040.

The previous prime is 120210022202099. The next prime is 120210022202117. The reversal of 120210022202112 is 211202220012021.

It is a happy number.

120210022202112 is a `hidden beast` number, since 1 + 20 + 210 + 0 + 2 + 220 + 211 + 2 = 666.

120210022202112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120210022202117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19212082888 + ... + 19212089144.

Almost surely, 2120210022202112 is an apocalyptic number.

120210022202112 is a gapful number since it is divisible by the number (12) 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 120210022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178165580697468).

120210022202112 is an abundant number, since it is smaller than the sum of its proper divisors (236121139192824).

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

120210022202112 is an equidigital number, since it uses as much as digits as its factorization.

120210022202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120210022202112 its reverse (211202220012021), we get a palindrome (331412242214133).

The spelling of 120210022202112 in words is "one hundred twenty trillion, two hundred ten billion, twenty-two million, two hundred two thousand, one hundred twelve".