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1212000202112 = 27717691115151
BaseRepresentation
bin10001101000110000110…
…101110110110110000000
311021212101101012112120112
4101220300311312312000
5124324134022431422
62324441334330452
7153364331511020
oct21506065666600
94255341175515
101212000202112
114280085765a7
12176a884b9a28
138a3a27c050b
1442938199a80
15217d849aee2
hex11a30d76d80

1212000202112 has 128 divisors (see below), whose sum is σ = 2926039956480. Its totient is φ = 488162304000.

The previous prime is 1212000202109. The next prime is 1212000202211. The reversal of 1212000202112 is 2112020002121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×12120002021123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 10467737 + ... + 10582887.

It is an arithmetic number, because the mean of its divisors is an integer number (22859687160).

Almost surely, 21212000202112 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 1212000202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463019978240).

1212000202112 is an abundant number, since it is smaller than the sum of its proper divisors (1714039754368).

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

1212000202112 is a wasteful number, since it uses less digits than its factorization.

1212000202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115880 (or 115868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1212000202112 its reverse (2112020002121), we get a palindrome (3324020204233).

The spelling of 1212000202112 in words is "one trillion, two hundred twelve billion, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 691 896 952 1088 1382 1904 2176 2764 3808 4837 5528 7616 9674 11056 11747 15232 19348 22112 23494 38696 44224 46988 77392 82229 88448 93976 115151 154784 164458 187952 230302 309568 328916 375904 460604 619136 657832 751808 806057 921208 1315664 1503616 1612114 1842416 1957567 2631328 3224228 3684832 3915134 5262656 6448456 7369664 7830268 10525312 12896912 13702969 14739328 15660536 25793824 27405938 31321072 51587648 54811876 62642144 79569341 103175296 109623752 125284288 159138682 219247504 250568576 318277364 438495008 556985387 636554728 876990016 1113970774 1273109456 1352678797 1753980032 2227941548 2546218912 2705357594 4455883096 5092437824 5410715188 8911766192 9468751579 10184875648 10821430376 17823532384 18937503158 21642860752 35647064768 37875006316 43285721504 71294129536 75750012632 86571443008 151500025264 173142886016 303000050528 606000101056 1212000202112