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12121836240 = 243550507651
BaseRepresentation
bin10110100101000010…
…01000101011010000
31011021210101002020210
423102201020223100
5144311142224430
65322501004120
7606250623303
oct132241105320
934253332223
1012121836240
115160507a88
1224236b3640
1311b2482487
1482dc94b3a
154ae2da2b0
hex2d2848ad0

12121836240 has 40 divisors (see below), whose sum is σ = 37577693088. Its totient is φ = 3232489600.

The previous prime is 12121836229. The next prime is 12121836241. The reversal of 12121836240 is 4263812121.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 12121836198 and 12121836207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121836241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25253586 + ... + 25254065.

Almost surely, 212121836240 is an apocalyptic number.

12121836240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121836240 is an abundant number, since it is smaller than the sum of its proper divisors (25455856848).

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

12121836240 is a wasteful number, since it uses less digits than its factorization.

12121836240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50507667 (or 50507661 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12121836240 in words is "twelve billion, one hundred twenty-one million, eight hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50507651 101015302 151522953 202030604 252538255 303045906 404061208 505076510 606091812 757614765 808122416 1010153020 1212183624 1515229530 2020306040 2424367248 3030459060 4040612080 6060918120 12121836240