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10112012221200 = 2435237227748023
BaseRepresentation
bin1001001100100110001011…
…1001010111101100010000
31022210200212111222122202120
42103021202321113230100
52311133400112034300
633301221055414240
72062366042460001
oct223114271275420
938720774878676
1010112012221200
11324953130875a
121173938524380
135847354bb356
1426d5d166d1a8
15128083a143a0
hex93262e57b10

10112012221200 has 120 divisors (see below), whose sum is σ = 33267609361728. Its totient is φ = 2623657213440.

The previous prime is 10112012221193. The next prime is 10112012221243. The reversal of 10112012221200 is 212221021101.

It is a tau number, because it is divible by the number of its divisors (120).

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 10112012221200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113829612 + ... + 113918411.

Almost surely, 210112012221200 is an apocalyptic number.

10112012221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112012221200 is an abundant number, since it is smaller than the sum of its proper divisors (23155597140528).

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

10112012221200 is a wasteful number, since it uses less digits than its factorization.

10112012221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227748081 (or 227748070 counting only the distinct ones).

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

Adding to 10112012221200 its reverse (212221021101), we get a palindrome (10324233242301).

The spelling of 10112012221200 in words is "ten trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 227748023 455496046 683244069 910992092 1138740115 1366488138 1821984184 2277480230 2732976276 3416220345 3643968368 4554960460 5465952552 5693700575 6832440690 8426676851 9109920920 10931905104 11387401150 13664881380 16853353702 17081101725 18219841840 22774802300 25280030553 27329762760 33706707404 34162203450 42133384255 45549604600 50560061106 54659525520 67413414808 68324406900 84266768510 91099209200 101120122212 126400152765 134826829616 136648813800 168533537020 202240244424 210666921275 252800305530 273297627600 337067074040 404480488848 421333842550 505600611060 632000763825 674134148080 842667685100 1011201222120 1264001527650 1685335370200 2022402444240 2528003055300 3370670740400 5056006110600 10112012221200