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1102212112000 = 275383829979
BaseRepresentation
bin10000000010100000111…
…101100001111010000000
310220101000001112200220211
4100002200331201322000
5121024312300041000
62202203234443504
7142426562240446
oct20024075417200
93811001480824
101102212112000
1139549a00352a
12159748733594
137cc2718a89c
143b4c11b8b96
151da0ecb17ba
hex100a0f61e80

1102212112000 has 128 divisors (see below), whose sum is σ = 2773394769600. Its totient is φ = 435572454400.

The previous prime is 1102212111983. The next prime is 1102212112021. The reversal of 1102212112000 is 2112122011.

It is a tau number, because it is divible by the number of its divisors (128).

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, 913011 + ... + 1742989.

Almost surely, 21102212112000 is an apocalyptic number.

1102212112000 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 1102212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386697384800).

1102212112000 is an abundant number, since it is smaller than the sum of its proper divisors (1671182657600).

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

1102212112000 is an frugal number, since it uses more digits than its factorization.

1102212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830091 (or 830069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1102212112000 its reverse (2112122011), we get a palindrome (1104324234011).

The spelling of 1102212112000 in words is "one trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 320 332 400 415 500 640 664 800 830 1000 1328 1600 1660 2000 2075 2656 3200 3320 4000 4150 5312 6640 8000 8300 10375 10624 13280 16000 16600 20750 26560 33200 41500 53120 66400 83000 132800 166000 265600 332000 664000 829979 1328000 1659958 3319916 4149895 6639832 8299790 13279664 16599580 20749475 26559328 33199160 41498950 53118656 66398320 68888257 82997900 103747375 106237312 132796640 137776514 165995800 207494750 265593280 275553028 331991600 344441285 414989500 531186560 551106056 663983200 688882570 829979000 1102212112 1327966400 1377765140 1659958000 1722206425 2204424224 2655932800 2755530280 3319916000 3444412850 4408848448 5511060560 6639832000 6888825700 8611032125 8817696896 11022121120 13279664000 13777651400 17222064250 22044242240 27555302800 34444128500 44088484480 55110605600 68888257000 110221211200 137776514000 220442422400 275553028000 551106056000 1102212112000