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12032534124 = 2234135774951
BaseRepresentation
bin10110011010011000…
…11110011001101100
31011001120100001210000
423031030132121230
5144120312042444
65305550544300
7604114565262
oct131514363154
934046301700
1012032534124
115115062a86
1223b9808090
131199b160a0
1482208a432
154a654a469
hex2cd31e66c

12032534124 has 120 divisors (see below), whose sum is σ = 33940631648. Its totient is φ = 3695155200.

The previous prime is 12032534099. The next prime is 12032534141. The reversal of 12032534124 is 42143523021.

12032534124 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 534 + 124 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2427849 + ... + 2432799.

Almost surely, 212032534124 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 12032534124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970315824).

12032534124 is an abundant number, since it is smaller than the sum of its proper divisors (21908097524).

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

12032534124 is a wasteful number, since it uses less digits than its factorization.

12032534124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

It can be divided in two parts, 120325 and 34124, that added together give a square (154449 = 3932).

The spelling of 12032534124 in words is "twelve billion, thirty-two million, five hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 577 702 1053 1154 1404 1731 2106 2308 3462 4212 4951 5193 6924 7501 9902 10386 14853 15002 15579 19804 20772 22503 29706 30004 31158 44559 45006 46737 59412 62316 64363 67509 89118 90012 93474 128726 133677 135018 178236 186948 193089 202527 257452 267354 270036 386178 401031 405054 534708 579267 607581 772356 802062 810108 1158534 1215162 1604124 1737801 2317068 2430324 2856727 3475602 5213403 5713454 6951204 8570181 10426806 11426908 17140362 20853612 25710543 34280724 37137451 51421086 74274902 77131629 102842172 111412353 148549804 154263258 222824706 231394887 308526516 334237059 445649412 462789774 668474118 925579548 1002711177 1336948236 2005422354 3008133531 4010844708 6016267062 12032534124