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12030012260748 = 22321779832997847
BaseRepresentation
bin1010111100001111010010…
…0110111000000110001100
31120121001120020102220202100
42233003310212320012030
53034044431114320443
641330302240555100
72351065630014666
oct257036446700614
946531506386670
1012030012260748
113918999332589
1214235b6922a90
1369356b488561
142d83818d9536
1515cddcb6c3d3
hexaf0f49b818c

12030012260748 has 144 divisors (see below), whose sum is σ = 32998392161280. Its totient is φ = 3681450819072.

The previous prime is 12030012260737. The next prime is 12030012260767. The reversal of 12030012260748 is 84706221003021.

It is a happy number.

12030012260748 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 0 + 1 + 2 + 2 + 607 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513961 + ... + 5511807.

It is an arithmetic number, because the mean of its divisors is an integer number (229155501120).

Almost surely, 212030012260748 is an apocalyptic number.

12030012260748 is a gapful number since it is divisible by the number (18) 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 12030012260748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499196080640).

12030012260748 is an abundant number, since it is smaller than the sum of its proper divisors (20968379900532).

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

12030012260748 is a wasteful number, since it uses less digits than its factorization.

12030012260748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998036 (or 2998031 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 12030012260748 its reverse (84706221003021), we get a palindrome (96736233263769).

The spelling of 12030012260748 in words is "twelve trillion, thirty billion, twelve million, two hundred sixty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 83 102 153 158 166 204 237 249 306 316 332 474 498 612 711 747 948 996 1343 1411 1422 1494 2686 2822 2844 2988 4029 4233 5372 5644 6557 8058 8466 12087 12699 13114 16116 16932 19671 24174 25398 26228 39342 48348 50796 59013 78684 111469 118026 222938 236052 334407 445876 668814 1003221 1337628 2006442 2997847 4012884 5995694 8993541 11991388 17987082 26980623 35974164 50963399 53961246 101926798 107922492 152890197 203853596 236829913 248821301 305780394 458670591 473659826 497642602 611560788 710489739 746463903 917341182 947319652 995285204 1420979478 1492927806 1834682364 2131469217 2239391709 2841958956 2985855612 4026108521 4229962117 4262938434 4478783418 8052217042 8459924234 8525876868 8957566836 12078325563 12689886351 16104434084 16919848468 19656882779 24156651126 25379772702 36234976689 38069659053 39313765558 48313302252 50759545404 58970648337 72469953378 76139318106 78627531116 117941296674 144939906756 152278636212 176911945011 235882593348 334167007243 353823890022 668334014486 707647780044 1002501021729 1336668028972 2005002043458 3007503065187 4010004086916 6015006130374 12030012260748