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2112212000120 = 235887117150839
BaseRepresentation
bin11110101111001001101…
…001010101110101111000
321110220222200112002001112
4132233021221111311320
5234101302233000440
64254200425335452
7305413403524325
oct36571151256570
97426880462045
102112212000120
11744869677372
122a143b637588
13124247104991
1474335755b4c
1539e243b2965
hex1ebc9a55d78

2112212000120 has 64 divisors (see below), whose sum is σ = 4761991641600. Its totient is φ = 843195000960.

The previous prime is 2112212000111. The next prime is 2112212000123. The reversal of 2112212000120 is 210002122112.

It is a super-2 number, since 2×21122120001202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112212000095 and 2112212000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112212000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41521661 + ... + 41572499.

It is an arithmetic number, because the mean of its divisors is an integer number (74406119400).

Almost surely, 22112212000120 is an apocalyptic number.

2112212000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112212000120 is an abundant number, since it is smaller than the sum of its proper divisors (2649779641480).

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

2112212000120 is a wasteful number, since it uses less digits than its factorization.

2112212000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52908 (or 52904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112212000120 its reverse (210002122112), we get a palindrome (2322214122232).

The spelling of 2112212000120 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 887 1171 1774 2342 3548 4435 4684 5855 7096 8870 9368 11710 17740 23420 35480 46840 50839 101678 203356 254195 406712 508390 1016780 1038677 2033560 2077354 4154708 5193385 8309416 10386770 20773540 41547080 45094193 59532469 90188386 119064938 180376772 225470965 238129876 297662345 360753544 450941930 476259752 595324690 901883860 1190649380 1803767720 2381298760 52805300003 105610600006 211221200012 264026500015 422442400024 528053000030 1056106000060 2112212000120