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221221201112112 = 243291735927154991
BaseRepresentation
bin110010010011001100010011…
…000110111110110000110000
31002000021112120212102202112010
4302103030103012332300300
5212443442004441041422
62102255341121402520
764411463406456105
oct6223142306766060
91060245525382463
10221221201112112
1164540425891833
122098a198799440
1396590ba328966
143c8b23ddd0aac
151a89710036b0c
hexc933131bec30

221221201112112 has 160 divisors (see below), whose sum is σ = 594716058593280. Its totient is φ = 70773681341440.

The previous prime is 221221201112063. The next prime is 221221201112123. The reversal of 221221201112112 is 211211102122122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427238937 + ... + 1427393927.

It is an arithmetic number, because the mean of its divisors is an integer number (3716975366208).

Almost surely, 2221221201112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221221201112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297358029296640).

221221201112112 is an abundant number, since it is smaller than the sum of its proper divisors (373494857481168).

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

221221201112112 is a wasteful number, since it uses less digits than its factorization.

221221201112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161131 (or 161125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 221221201112112 its reverse (211211102122122), we get a palindrome (432432303234234).

The spelling of 221221201112112 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 173 174 232 346 348 464 519 692 696 1038 1384 1392 2076 2768 4152 5017 5927 8304 10034 11854 15051 17781 20068 23708 30102 35562 40136 47416 60204 71124 80272 94832 120408 142248 154991 171883 240816 284496 309982 343766 464973 515649 619964 687532 929946 1025371 1031298 1239928 1375064 1859892 2050742 2062596 2479856 2750128 3076113 3719784 4101484 4125192 4494739 6152226 7439568 8202968 8250384 8989478 12304452 13484217 16405936 17978956 24608904 26813443 26968434 29735759 35957912 49217808 53626886 53936868 59471518 71915824 80440329 89207277 107253772 107873736 118943036 160880658 178414554 214507544 215747472 237886072 321761316 356829108 429015088 475772144 643522632 713658216 777589847 918631657 1287045264 1427316432 1555179694 1837263314 2332769541 2755894971 3110359388 3674526628 4665539082 5511789942 6220718776 7349053256 9331078164 11023579884 12441437552 14698106512 18662156328 22047159768 26640318053 37324312656 44094319536 53280636106 79920954159 106561272212 158923276661 159841908318 213122544424 317846553322 319683816636 426245088848 476769829983 635693106644 639367633272 953539659966 1271386213288 1278735266544 1907079319932 2542772426576 3814158639864 4608775023169 7628317279728 9217550046338 13826325069507 18435100092676 27652650139014 36870200185352 55305300278028 73740400370704 110610600556056 221221201112112