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12221002110210 = 23537317226915307
BaseRepresentation
bin1011000111010110110001…
…1111010101010100000010
31121021022112122112112022120
42301311230133111110002
53100212103020011320
641554130104145110
72400636552653355
oct261655437252402
947238478475276
1012221002110210
1139919970aa283
121454618a68196
136a8587bb21ba
143036dd0c229c
15162d6a0ac440
hexb1d6c7d5502

12221002110210 has 128 divisors (see below), whose sum is σ = 30233437159680. Its totient is φ = 3159252440064.

The previous prime is 12221002110199. The next prime is 12221002110211. The reversal of 12221002110210 is 1201120012221.

12221002110210 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221002110210.

It is not an unprimeable number, because it can be changed into a prime (12221002110211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 798385377 + ... + 798400683.

It is an arithmetic number, because the mean of its divisors is an integer number (236198727810).

Almost surely, 212221002110210 is an apocalyptic number.

12221002110210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221002110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116718579840).

12221002110210 is an abundant number, since it is smaller than the sum of its proper divisors (18012435049470).

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

12221002110210 is a wasteful number, since it uses less digits than its factorization.

12221002110210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17940.

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

Adding to 12221002110210 its reverse (1201120012221), we get a palindrome (13422122122431).

The spelling of 12221002110210 in words is "twelve trillion, two hundred twenty-one billion, two million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 317 370 555 634 951 1110 1585 1902 2269 3170 4538 4755 6807 9510 11345 11729 13614 15307 22690 23458 30614 34035 35187 45921 58645 68070 70374 76535 83953 91842 117290 153070 167906 175935 229605 251859 351870 419765 459210 503718 566359 719273 839530 1132718 1259295 1438546 1699077 2157819 2518590 2831795 3398154 3596365 4315638 4852319 5663590 7192730 8495385 9704638 10789095 14556957 16990770 21578190 24261595 26613101 29113914 34731583 48523190 53226202 69463166 72784785 79839303 104194749 133065505 145569570 159678606 173657915 179535803 208389498 266131010 347315830 359071606 399196515 520973745 538607409 798393030 897679015 1041947490 1077214818 1285068571 1795358030 2570137142 2693037045 3855205713 5386074090 6425342855 7710411426 11009911811 12850685710 19276028565 22019823622 33029735433 38552057130 55049559055 66059470866 110099118110 165148677165 330297354330 407366737007 814733474014 1222100211021 2036833685035 2444200422042 4073667370070 6110501055105 12221002110210