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3012000202112 = 27112333916933
BaseRepresentation
bin101011110101001001001…
…100111011110110000000
3101122221111110202201001012
4223311021030323312000
5343322034022431422
610223405505300052
7430416113202056
oct53651114736600
911587443681035
103012000202112
11a61422656190
124078b4934628
1318b051a35705
14a5ad29681d6
15535380044e2
hex2bd4933bd80

3012000202112 has 64 divisors (see below), whose sum is σ = 6548779305360. Its totient is φ = 1368502671360.

The previous prime is 3012000202069. The next prime is 3012000202117. The reversal of 3012000202112 is 2112020002103.

It is a happy number.

3012000202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012000202117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2826398 + ... + 3743330.

Almost surely, 23012000202112 is an apocalyptic number.

3012000202112 is a gapful number since it is divisible by the number (32) 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 3012000202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274389652680).

3012000202112 is an abundant number, since it is smaller than the sum of its proper divisors (3536779103248).

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

3012000202112 is a wasteful number, since it uses less digits than its factorization.

3012000202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919291 (or 919279 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 3012000202112 its reverse (2112020002103), we get a palindrome (5124020204215).

The spelling of 3012000202112 in words is "three trillion, twelve billion, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2333 4666 9332 18664 25663 37328 51326 74656 102652 149312 205304 298624 410608 821216 916933 1642432 1833866 3284864 3667732 7335464 10086263 14670928 20172526 29341856 40345052 58683712 80690104 117367424 161380208 322760416 645520832 1291041664 2139204689 4278409378 8556818756 17113637512 23531251579 34227275024 47062503158 68454550048 94125006316 136909100096 188250012632 273818200192 376500025264 753000050528 1506000101056 3012000202112