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221200002111120 = 24356437511431713
BaseRepresentation
bin110010010010111000100011…
…100011001101011010010000
31002000012111212110202221010020
4302102320203203031122100
5212443120101020023440
62102241513401303440
764410113155104354
oct6222704343153220
91060174773687106
10221200002111120
11645324375795aa
1220986061194b80
1396570bc4194a6
143c8a1cc799464
151a88dbddcb3d0
hexc92e238cd690

221200002111120 has 80 divisors (see below), whose sum is σ = 685721550690432. Its totient is φ = 58986534400000.

The previous prime is 221200002111061. The next prime is 221200002111161. The reversal of 221200002111120 is 21111200002122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221200002111120.

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, 153784384 + ... + 155216096.

Almost surely, 2221200002111120 is an apocalyptic number.

221200002111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200002111120 is an abundant number, since it is smaller than the sum of its proper divisors (464521548579312).

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

221200002111120 is a wasteful number, since it uses less digits than its factorization.

221200002111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075480 (or 2075474 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221200002111120 its reverse (21111200002122), we get a palindrome (242311202113242).

The spelling of 221200002111120 in words is "two hundred twenty-one trillion, two hundred billion, two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 643751 1287502 1431713 1931253 2575004 2863426 3218755 3862506 4295139 5150008 5726852 6437510 7158565 7725012 8590278 9656265 10300016 11453704 12875020 14317130 15450024 17180556 19312530 21475695 22907408 25750040 28634260 30900048 34361112 38625060 42951390 51500080 57268520 68722224 77250120 85902780 114537040 154500240 171805560 343611120 921666675463 1843333350926 2765000026389 3686666701852 4608333377315 5530000052778 7373333403704 9216666754630 11060000105556 13825000131945 14746666807408 18433333509260 22120000211112 27650000263890 36866667018520 44240000422224 55300000527780 73733334037040 110600001055560 221200002111120