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12210112101220 = 22511193491585677
BaseRepresentation
bin1011000110101110001101…
…1001001111101101100100
31121020021102201001202101021
42301223203121033231210
53100022302144214340
641545125325340524
72400102650264125
oct261534331175544
947207381052337
1012210112101220
113988308a67350
121452499a07744
136a75409b8ab7
14302d88a8404c
1516292dee7e4a
hexb1ae364fb64

12210112101220 has 96 divisors (see below), whose sum is σ = 28174504046976. Its totient is φ = 4408031846400.

The previous prime is 12210112101199. The next prime is 12210112101263. The reversal of 12210112101220 is 2210121101221.

It is a junction number, because it is equal to n+sod(n) for n = 12210112101194 and 12210112101203.

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, 20555022 + ... + 21140698.

It is an arithmetic number, because the mean of its divisors is an integer number (293484417156).

Almost surely, 212210112101220 is an apocalyptic number.

12210112101220 is a gapful number since it is divisible by the number (10) 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 12210112101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087252023488).

12210112101220 is an abundant number, since it is smaller than the sum of its proper divisors (15964391945756).

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

12210112101220 is a wasteful number, since it uses less digits than its factorization.

12210112101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586381 (or 586379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210112101220 its reverse (2210121101221), we get a palindrome (14420233202441).

Subtracting from 12210112101220 its reverse (2210121101221), we obtain a palindrome (9999990999999).

The spelling of 12210112101220 in words is "twelve trillion, two hundred ten billion, one hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 491 772 965 982 1930 1964 2123 2455 3860 4246 4910 5401 8492 9820 10615 10802 21230 21604 27005 42460 54010 94763 108020 189526 379052 473815 585677 947630 1042393 1171354 1895260 2084786 2342708 2928385 4169572 5211965 5856770 6442447 10423930 11713540 12884894 20847860 25769788 32212235 64424470 113035661 128848940 226071322 287567407 452142644 565178305 575134814 1130356610 1150269628 1243392271 1437837035 2260713220 2486784542 2875674070 3163241477 4973569084 5751348140 6216961355 6326482954 12433922710 12652965908 15816207385 24867845420 31632414770 55500509551 63264829540 111001019102 222002038204 277502547755 555005095510 610505605061 1110010191020 1221011210122 2442022420244 3052528025305 6105056050610 12210112101220