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220101001200120 = 23351834175010001
BaseRepresentation
bin110010000010111001000001…
…111111011100000111111000
31001212022110011012200010211210
4302002321001333130013320
5212322113322301400440
62100041000513523120
764234525664354625
oct6202710177340770
91055273135603753
10220101001200120
11641493461799a7
122082906bb734a0
1395a758761c851
143c4cd33c8334c
151a6a4eaecba80
hexc82e41fdc1f8

220101001200120 has 32 divisors (see below), whose sum is σ = 660303003600720. Its totient is φ = 58693600320000.

The previous prime is 220101001200109. The next prime is 220101001200131. The reversal of 220101001200120 is 21002100101022.

220101001200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220101001200109) and next prime (220101001200131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220101001200096 and 220101001200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917087504881 + ... + 917087505120.

Almost surely, 2220101001200120 is an apocalyptic number.

220101001200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101001200120 is an abundant number, since it is smaller than the sum of its proper divisors (440202002400600).

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

220101001200120 is a wasteful number, since it uses less digits than its factorization.

220101001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834175010015 (or 1834175010011 counting only the distinct ones).

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

Adding to 220101001200120 its reverse (21002100101022), we get a palindrome (241103101301142).

The spelling of 220101001200120 in words is "two hundred twenty trillion, one hundred one billion, one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1834175010001 3668350020002 5502525030003 7336700040004 9170875050005 11005050060006 14673400080008 18341750100010 22010100120012 27512625150015 36683500200020 44020200240024 55025250300030 73367000400040 110050500600060 220101001200120