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221010000012120 = 233511215221074381
BaseRepresentation
bin110010010000000111100110…
…100010101110001101011000
31001222112100102220022020110110
4302100013212202232031120
5212432011440000341440
62102014331541044320
764360305554650644
oct6220074642561530
91058470386266413
10221010000012120
11644698a6319400
12209552759b66a0
1396421cc531287
143c80d26451c24
151a83e9d54d080
hexc901e68ae358

221010000012120 has 96 divisors (see below), whose sum is σ = 728785041410160. Its totient is φ = 53578181817600.

The previous prime is 221010000012091. The next prime is 221010000012209. The reversal of 221010000012120 is 21210000010122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221010000012096 and 221010000012105.

It is a congruent number.

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, 7610522671 + ... + 7610551710.

Almost surely, 2221010000012120 is an apocalyptic number.

221010000012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010000012120 is an abundant number, since it is smaller than the sum of its proper divisors (507775041398040).

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

221010000012120 is a wasteful number, since it uses less digits than its factorization.

221010000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15221074417 (or 15221074402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221010000012120 its reverse (21210000010122), we get a palindrome (242220000022242).

The spelling of 221010000012120 in words is "two hundred twenty-one trillion, ten billion, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 15221074381 30442148762 45663223143 60884297524 76105371905 91326446286 121768595048 152210743810 167431818191 182652892572 228316115715 304421487620 334863636382 365305785144 456632231430 502295454573 608842975240 669727272764 837159090955 913264462860 1004590909146 1339454545528 1674318181910 1826528925720 1841750000101 2009181818292 2511477272865 3348636363820 3683500000202 4018363636584 5022954545730 5525250000303 6697272727640 7367000000404 9208750000505 10045909091460 11050500000606 14734000000808 18417500001010 20091818182920 22101000001212 27626250001515 36835000002020 44202000002424 55252500003030 73670000004040 110505000006060 221010000012120