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10012221222120 = 23325134434829263
BaseRepresentation
bin1001000110110010011011…
…1000111010110011101000
31022110011021220121122212200
42101230212320322303220
52303020012113101440
633143315000140200
72052234114124425
oct221544670726350
938404256548780
1010012221222120
113210182953097
121158528767660
135781c1097ac0
14268846294d4c
15125692d10c30
hex91b26e3ace8

10012221222120 has 192 divisors, whose sum is σ = 35121884878080. Its totient is φ = 2458982942208.

The previous prime is 10012221222109. The next prime is 10012221222187. The reversal of 10012221222120 is 2122212221001.

It is a happy number.

10012221222120 is a `hidden beast` number, since 100 + 1 + 2 + 221 + 222 + 120 = 666.

10012221222120 is digitally balanced in base 2, 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 a junction number, because it is equal to n+sod(n) for n = 10012221222093 and 10012221222102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341392 + ... + 4487871.

It is an arithmetic number, because the mean of its divisors is an integer number (182926483740).

Almost surely, 210012221222120 is an apocalyptic number.

10012221222120 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 10012221222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17560942439040).

10012221222120 is an abundant number, since it is smaller than the sum of its proper divisors (25109663655960).

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

10012221222120 is a wasteful number, since it uses less digits than its factorization.

10012221222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829736 (or 4829729 counting only the distinct ones).

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

Adding to 10012221222120 its reverse (2122212221001), we get a palindrome (12134433443121).

The spelling of 10012221222120 in words is "ten trillion, twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".