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121120110120 = 23351791165173
BaseRepresentation
bin111000011001101010…
…0100011011000101000
3102120122001212002201110
41300303110203120220
53441023222010440
6131350344150320
711515316643402
oct1606324433050
9376561762643
10121120110120
1147404165469
121b582a683a0
13b563289619
145c0dddbb72
15323d4b0080
hex1c33523628

121120110120 has 128 divisors (see below), whose sum is σ = 385162698240. Its totient is φ = 30364938240.

The previous prime is 121120110119. The next prime is 121120110127. The reversal of 121120110120 is 21011021121.

121120110120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121120110096 and 121120110105.

It is not an unprimeable number, because it can be changed into a prime (121120110127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825854 + ... + 1891026.

It is an arithmetic number, because the mean of its divisors is an integer number (3009083580).

Almost surely, 2121120110120 is an apocalyptic number.

121120110120 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 121120110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192581349120).

121120110120 is an abundant number, since it is smaller than the sum of its proper divisors (264042588120).

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

121120110120 is a wasteful number, since it uses less digits than its factorization.

121120110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66115 (or 66111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121120110120 its reverse (21011021121), we get a palindrome (142131131241).

The spelling of 121120110120 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 911 1020 1822 2040 2733 3644 4555 5466 7288 9110 10932 13665 15487 18220 21864 27330 30974 36440 46461 54660 61948 65173 77435 92922 109320 123896 130346 154870 185844 195519 232305 260692 309740 325865 371688 391038 464610 521384 619480 651730 782076 929220 977595 1107941 1303460 1564152 1858440 1955190 2215882 2606920 3323823 3910380 4431764 5539705 6647646 7820760 8863528 11079410 13295292 16619115 22158820 26590584 33238230 44317640 59372603 66476460 118745206 132952920 178117809 237490412 296863015 356235618 474980824 593726030 712471236 890589045 1009334251 1187452060 1424942472 1781178090 2018668502 2374904120 3028002753 3562356180 4037337004 5046671255 6056005506 7124712360 8074674008 10093342510 12112011012 15140013765 20186685020 24224022024 30280027530 40373370040 60560055060 121120110120