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12014133244140 = 2235402414975909
BaseRepresentation
bin1010111011010100001000…
…1001001111000011101100
31120112112120121021021222010
42232311002021033003230
53033314421102303030
641315114442321220
72346664264422636
oct256650211170354
946475517237863
1012014133244140
113912190010365
121420504ab9210
13691c0a7b1a41
142d76b6a5ba56
1515c7adac36b0
hexaed4224f0ec

12014133244140 has 48 divisors (see below), whose sum is σ = 33640415796960. Its totient is φ = 3203688606720.

The previous prime is 12014133244073. The next prime is 12014133244147. The reversal of 12014133244140 is 4144233141021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12014133244098 and 12014133244107.

It is not an unprimeable number, because it can be changed into a prime (12014133244147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73495 + ... + 4902414.

It is an arithmetic number, because the mean of its divisors is an integer number (700841995770).

Almost surely, 212014133244140 is an apocalyptic number.

12014133244140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014133244140 is an abundant number, since it is smaller than the sum of its proper divisors (21626282552820).

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

12014133244140 is a wasteful number, since it uses less digits than its factorization.

12014133244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016162 (or 5016160 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12014133244140 its reverse (4144233141021), we get a palindrome (16158366385161).

The spelling of 12014133244140 in words is "twelve trillion, fourteen billion, one hundred thirty-three million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40241 80482 120723 160964 201205 241446 402410 482892 603615 804820 1207230 2414460 4975909 9951818 14927727 19903636 24879545 29855454 49759090 59710908 74638635 99518180 149277270 298554540 200235554069 400471108138 600706662207 800942216276 1001177770345 1201413324414 2002355540690 2402826648828 3003533311035 4004711081380 6007066622070 12014133244140