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120000211100112 = 24371814319684919
BaseRepresentation
bin11011010010001110111001…
…111101001010000111010000
3120201212220112001000000212010
4123102032321331022013100
5111212040413020200422
61103115200321302520
734163505045412320
oct3322167175120720
9521786461000763
10120000211100112
1135265892848912
1211560a17a94a40
1351c5c8209c495
14218c081101280
15dd1732e53b0c
hex6d23b9f4a1d0

120000211100112 has 80 divisors (see below), whose sum is σ = 354305882972160. Its totient is φ = 34283883106176.

The previous prime is 120000211100083. The next prime is 120000211100153. The reversal of 120000211100112 is 211001112000021.

120000211100112 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3746412 + ... + 15938507.

It is an arithmetic number, because the mean of its divisors is an integer number (4428823537152).

Almost surely, 2120000211100112 is an apocalyptic number.

120000211100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120000211100112 is an abundant number, since it is smaller than the sum of its proper divisors (234305671872048).

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

120000211100112 is a wasteful number, since it uses less digits than its factorization.

120000211100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19703080 (or 19703074 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120000211100112 its reverse (211001112000021), we get a palindrome (331001323100133).

The spelling of 120000211100112 in words is "one hundred twenty trillion, two hundred eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 18143 36286 54429 72572 108858 127001 145144 217716 254002 290288 381003 435432 508004 762006 870864 1016008 1524012 2032016 3048024 6096048 19684919 39369838 59054757 78739676 118109514 137794433 157479352 236219028 275588866 314958704 413383299 472438056 551177732 826766598 944876112 1102355464 1653533196 2204710928 3307066392 6614132784 357143485417 714286970834 1071430456251 1428573941668 2142860912502 2500004397919 2857147883336 4285721825004 5000008795838 5714295766672 7500013193757 8571443650008 10000017591676 15000026387514 17142887300016 20000035183352 30000052775028 40000070366704 60000105550056 120000211100112