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12412078016 = 2613193721221
BaseRepresentation
bin10111000111101000…
…10100011111000000
31012001000111220010012
423203310110133000
5200404442444031
65411345524052
7616403631242
oct134364243700
935030456105
1012412078016
11529a326a18
1224a4943628
13122a644780
1485a648092
154c9a1cb2b
hex2e3d147c0

12412078016 has 112 divisors (see below), whose sum is σ = 28676864160. Its totient is φ = 5280215040.

The previous prime is 12412077983. The next prime is 12412078027. The reversal of 12412078016 is 61087021421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574286 + ... + 595506.

It is an arithmetic number, because the mean of its divisors is an integer number (256043430).

Almost surely, 212412078016 is an apocalyptic number.

12412078016 is a gapful number since it is divisible by the number (16) 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 12412078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338432080).

12412078016 is an abundant number, since it is smaller than the sum of its proper divisors (16264786144).

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

12412078016 is a wasteful number, since it uses less digits than its factorization.

12412078016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21302 (or 21292 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

Adding to 12412078016 its reverse (61087021421), we get a palindrome (73499099437).

The spelling of 12412078016 in words is "twelve billion, four hundred twelve million, seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 64 74 76 104 148 152 208 247 296 304 416 481 494 592 608 703 832 962 988 1184 1216 1406 1924 1976 2368 2812 3848 3952 5624 7696 7904 9139 11248 15392 15808 18278 21221 22496 30784 36556 42442 44992 73112 84884 146224 169768 275873 292448 339536 403199 551746 584896 679072 785177 806398 1103492 1358144 1570354 1612796 2206984 3140708 3225592 4413968 5241587 6281416 6451184 8827936 10207301 10483174 12562832 12902368 14918363 17655872 20414602 20966348 25125664 25804736 29836726 40829204 41932696 50251328 59673452 81658408 83865392 119346904 163316816 167730784 193938719 238693808 326633632 335461568 387877438 477387616 653267264 775754876 954775232 1551509752 3103019504 6206039008 12412078016