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12542155354120 = 2357176534035079
BaseRepresentation
bin1011011010000011001010…
…1101101111000000001000
31122102000111101000200112211
42312200302231233000020
53120442313232312440
642401441524514504
72433066205334050
oct266406255570010
948360441020484
1012542155354120
113aa61097a6837
1214a690654ba34
136cc9492bc182
14315087748560
1516b3b4888eea
hexb6832b6f008

12542155354120 has 128 divisors (see below), whose sum is σ = 34200692467200. Its totient is φ = 4041017634816.

The previous prime is 12542155354033. The next prime is 12542155354133. The reversal of 12542155354120 is 2145355124521.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090741 + ... + 5125819.

It is an arithmetic number, because the mean of its divisors is an integer number (267192909900).

Almost surely, 212542155354120 is an apocalyptic number.

12542155354120 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 12542155354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100346233600).

12542155354120 is an abundant number, since it is smaller than the sum of its proper divisors (21658537113080).

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

12542155354120 is a wasteful number, since it uses less digits than its factorization.

12542155354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035767 (or 4035763 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 12542155354120 in words is "twelve trillion, five hundred forty-two billion, one hundred fifty-five million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 653 680 952 1190 1306 2380 2612 3265 4571 4760 5224 6530 9142 11101 13060 18284 22202 22855 26120 36568 44404 45710 55505 77707 88808 91420 111010 155414 182840 222020 310828 388535 444040 621656 777070 1554140 3108280 4035079 8070158 16140316 20175395 28245553 32280632 40350790 56491106 68596343 80701580 112982212 137192686 141227765 161403160 225964424 274385372 282455530 342981715 480174401 548770744 564911060 685963430 960348802 1129822120 1371926860 1920697604 2400872005 2634906587 2743853720 3841395208 4801744010 5269813174 9603488020 10539626348 13174532935 18444346109 19206976040 21079252696 26349065870 36888692218 44793411979 52698131740 73777384436 89586823958 92221730545 105396263480 147554768872 179173647916 184443461090 223967059895 313553883853 358347295832 368886922180 447934119790 627107767706 737773844360 895868239580 1254215535412 1567769419265 1791736479160 2508431070824 3135538838530 6271077677060 12542155354120