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122111002312 = 231317711735623
BaseRepresentation
bin111000110111001100…
…0100000011011001000
3102200012010101122021021
41301232120200123020
54000040404033222
6132032542322224
711552011252045
oct1615630403310
9380163348237
10122111002312
1147872528432
121b7ba889374
13b690658070
145ca58581cc
15329a492ac7
hex1c6e6206c8

122111002312 has 128 divisors (see below), whose sum is σ = 266329244160. Its totient is φ = 51985059840.

The previous prime is 122111002297. The next prime is 122111002393. The reversal of 122111002312 is 213200111221.

It is a super-2 number, since 2×1221110023122 (a number of 23 digits) contains 22 as substring.

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, 21713533 + ... + 21719155.

It is an arithmetic number, because the mean of its divisors is an integer number (2080697220).

Almost surely, 2122111002312 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 122111002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133164622080).

122111002312 is an abundant number, since it is smaller than the sum of its proper divisors (144218241848).

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

122111002312 is a wasteful number, since it uses less digits than its factorization.

122111002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122111002312 its reverse (213200111221), we get a palindrome (335311113533).

The spelling of 122111002312 in words is "one hundred twenty-two billion, one hundred eleven million, two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 71 104 136 142 173 221 284 346 442 568 692 884 923 1207 1384 1768 1846 2249 2414 2941 3692 4498 4828 5623 5882 7384 8996 9656 11246 11764 12283 15691 17992 22492 23528 24566 31382 38233 44984 49132 62764 73099 76466 95591 98264 125528 146198 152932 159679 191182 208811 292396 305864 319358 382364 399233 417622 584792 638716 764728 798466 835244 972779 1242683 1277432 1596932 1670488 1945558 2485366 2714543 3193864 3891116 4970732 5190029 5429086 6786961 7782232 9941464 10380058 10858172 12646127 13573922 16537243 20760116 21716344 25292254 27147844 33074486 41520232 50584508 54295688 66148972 69067309 88230493 101169016 132297944 138134618 176460986 214984159 276269236 352921972 429968318 552538472 705843944 859936636 897875017 1174144253 1719873272 1795750034 2348288506 3591500068 4696577012 7183000136 9393154024 15263875289 30527750578 61055501156 122111002312