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1121120101112 = 23113111310493467
BaseRepresentation
bin10000010100000111111…
…101110010001011111000
310222011210210021001211212
4100110013331302023320
5121332023221213422
62215011354342252
7143666254424234
oct20240775621370
93864723231755
101121120101112
113a2512084610
12161344a2a988
138194b55101b
143c3964415c4
151e269c239e2
hex10507f722f8

1121120101112 has 128 divisors (see below), whose sum is σ = 2391088896000. Its totient is φ = 488190259200.

The previous prime is 1121120101043. The next prime is 1121120101133. The reversal of 1121120101112 is 2111010211211.

It is a super-2 number, since 2×11211201011122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 323367203 + ... + 323370669.

It is an arithmetic number, because the mean of its divisors is an integer number (18680382000).

Almost surely, 21121120101112 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 1121120101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195544448000).

1121120101112 is an abundant number, since it is smaller than the sum of its proper divisors (1269968794888).

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

1121120101112 is a wasteful number, since it uses less digits than its factorization.

1121120101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1121120101112 its reverse (2111010211211), we get a palindrome (3232130312323).

The spelling of 1121120101112 in words is "one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 88 113 124 226 248 341 452 682 904 1049 1243 1364 2098 2486 2728 3467 3503 4196 4972 6934 7006 8392 9944 11539 13868 14012 23078 27736 28024 32519 38137 38533 46156 65038 76274 77066 92312 107477 118537 130076 152548 154132 214954 237074 260152 305096 308264 357709 391771 429908 474148 715418 783542 859816 948296 1182247 1303907 1430836 1567084 2364494 2607814 2861672 3134168 3636883 3674647 4309481 4728988 5215628 7273766 7349294 8618962 9457976 10431256 12144901 14547532 14698588 17237924 24289802 29095064 29397176 34475848 40005713 40421117 48579604 80011426 80842234 97159208 112743373 133593911 160022852 161684468 225486746 267187822 320045704 323368936 410967779 450973492 534375644 821935558 901946984 1068751288 1240177103 1643871116 2480354206 3287742232 4520645569 4960708412 9041291138 9921416824 12740001149 18082582276 25480002298 36165164552 50960004596 101920009192 140140012639 280280025278 560560050556 1121120101112