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1121414334120 = 2332513457231481
BaseRepresentation
bin10000010100011001100…
…000001100011010101000
310222012120021220122122200
4100110121200030122220
5121333124032142440
62215100505020200
7144006456364353
oct20243140143250
93865507818580
101121414334120
113a265317a193
12161407484660
13819974acbb2
143c3c355329a
151e285993c30
hex1051980c6a8

1121414334120 has 96 divisors (see below), whose sum is σ = 3644883164520. Its totient is φ = 299020308480.

The previous prime is 1121414334101. The next prime is 1121414334133. The reversal of 1121414334120 is 214334141211.

It is a happy number.

1121414334120 is a `hidden beast` number, since 1 + 1 + 214 + 1 + 4 + 33 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1121137910244 + 276423876 = 1058838^2 + 16626^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4728780 + ... + 4960260.

Almost surely, 21121414334120 is an apocalyptic number.

1121414334120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121414334120 is an abundant number, since it is smaller than the sum of its proper divisors (2523468830400).

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

1121414334120 is a wasteful number, since it uses less digits than its factorization.

1121414334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244955 (or 244948 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1121414334120 its reverse (214334141211), we get a palindrome (1335748475331).

The spelling of 1121414334120 in words is "one trillion, one hundred twenty-one billion, four hundred fourteen million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 13457 26914 40371 53828 67285 80742 107656 121113 134570 161484 201855 231481 242226 269140 322968 403710 462962 484452 538280 605565 694443 807420 925924 968904 1157405 1211130 1388886 1614840 1851848 2083329 2314810 2422260 2777772 3472215 4166658 4629620 4844520 5555544 6944430 8333316 9259240 10416645 13888860 16666632 20833290 27777720 41666580 83333160 3115039817 6230079634 9345119451 12460159268 15575199085 18690238902 24920318536 28035358353 31150398170 37380477804 46725597255 56070716706 62300796340 74760955608 93451194510 112141433412 124601592680 140176791765 186902389020 224282866824 280353583530 373804778040 560707167060 1121414334120