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10220121203112 = 23323717232226571
BaseRepresentation
bin1001010010111000111010…
…1100011010000110101000
31100012000220211002221222200
42110232032230122012220
52314421302011444422
633423020414220200
72103244062610122
oct224561654320650
940160824087880
1010220121203112
113290368a879a7
121190889ab4660
135919a3caaa32
14274929646212
1512acaeac52ac
hex94b8eb1a1a8

10220121203112 has 96 divisors (see below), whose sum is σ = 28444101048480. Its totient is φ = 3312708658560.

The previous prime is 10220121203099. The next prime is 10220121203161. The reversal of 10220121203112 is 21130212102201.

10220121203112 is a `hidden beast` number, since 1 + 0 + 220 + 12 + 120 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3476787 + ... + 5703357.

It is an arithmetic number, because the mean of its divisors is an integer number (296292719255).

Almost surely, 210220121203112 is an apocalyptic number.

10220121203112 is a gapful number since it is divisible by the number (12) 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 10220121203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222050524240).

10220121203112 is an abundant number, since it is smaller than the sum of its proper divisors (18223979845368).

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

10220121203112 is a wasteful number, since it uses less digits than its factorization.

10220121203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228343 (or 2228336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10220121203112 its reverse (21130212102201), we get a palindrome (31350333305313).

The spelling of 10220121203112 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1723 2664 3446 5169 6892 10338 13784 15507 20676 31014 41352 62028 63751 124056 127502 191253 255004 382506 510008 573759 765012 1147518 1530024 2226571 2295036 4453142 4590072 6679713 8906284 13359426 17812568 20039139 26718852 40078278 53437704 80156556 82383127 160313112 164766254 247149381 329532508 494298762 659065016 741448143 988597524 1482896286 1977195048 2965792572 3836381833 5931585144 7672763666 11509145499 15345527332 23018290998 30691054664 34527436497 46036581996 69054872994 92073163992 138109745988 141946127821 276219491976 283892255642 425838383463 567784511284 851676766926 1135569022568 1277515150389 1703353533852 2555030300778 3406707067704 5110060601556 10220121203112