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12121023312 = 2432312715283
BaseRepresentation
bin10110100100111100…
…00010001101010000
31011021201211210010100
423102132002031100
5144310440221222
65322431332400
7606240666246
oct132236021520
934251753110
1012121023312
115160002242
122423381100
1311b2259458
1482db22796
154ae1c94ac
hex2d2782350

12121023312 has 60 divisors (see below), whose sum is σ = 35016302464. Its totient is φ = 3910006080.

The previous prime is 12121023301. The next prime is 12121023319. The reversal of 12121023312 is 21332012121.

12121023312 is a `hidden beast` number, since 121 + 210 + 2 + 331 + 2 = 666.

It is a super-3 number, since 3×121210233123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121023319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1353178 + ... + 1362105.

Almost surely, 212121023312 is an apocalyptic number.

12121023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121023312 is an abundant number, since it is smaller than the sum of its proper divisors (22895279152).

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

12121023312 is a wasteful number, since it uses less digits than its factorization.

12121023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715328 (or 2715319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12121023312 its reverse (21332012121), we get a palindrome (33453035433).

The spelling of 12121023312 in words is "twelve billion, one hundred twenty-one million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 2715283 5430566 8145849 10861132 16291698 21722264 24437547 32583396 43444528 48875094 65166792 84173773 97750188 130333584 168347546 195500376 252521319 336695092 391000752 505042638 673390184 757563957 1010085276 1346780368 1515127914 2020170552 3030255828 4040341104 6060511656 12121023312