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12240020700 = 22335214813061
BaseRepresentation
bin10110110011000111…
…11110010011011100
31011121000202110212000
423121203332103130
5200031421130300
65342322042300
7612214313355
oct133143762334
934530673760
1012240020700
115211199796
1224571a9390
131200ac1bcb
1484185ad2c
154b9882c00
hex2d98fe4dc

12240020700 has 144 divisors (see below), whose sum is σ = 39388833120. Its totient is φ = 3260736000.

The previous prime is 12240020677. The next prime is 12240020701. The reversal of 12240020700 is 702004221.

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 (12240020701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3997170 + ... + 4000230.

Almost surely, 212240020700 is an apocalyptic number.

12240020700 is a gapful number since it is divisible by the number (10) 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 12240020700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694416560).

12240020700 is an abundant number, since it is smaller than the sum of its proper divisors (27148812420).

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

12240020700 is a wasteful number, since it uses less digits than its factorization.

12240020700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 12240020700 its reverse (702004221), we get a palindrome (12942024921).

The spelling of 12240020700 in words is "twelve billion, two hundred forty million, twenty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1481 2700 2962 3061 4443 5924 6122 7405 8886 9183 12244 13329 14810 15305 17772 18366 22215 26658 27549 29620 30610 36732 37025 39987 44430 45915 53316 55098 61220 66645 74050 76525 79974 82647 88860 91830 110196 111075 133290 137745 148100 153050 159948 165294 183660 199935 222150 229575 266580 275490 306100 330588 333225 399870 413235 444300 459150 550980 666450 688725 799740 826470 918300 999675 1332900 1377450 1652940 1999350 2066175 2754900 3998700 4132350 4533341 8264700 9066682 13600023 18133364 22666705 27200046 40800069 45333410 54400092 68000115 81600138 90666820 113333525 122400207 136000230 163200276 204000345 226667050 244800414 272000460 340000575 408000690 453334100 489600828 612001035 680001150 816001380 1020001725 1224002070 1360002300 2040003450 2448004140 3060005175 4080006900 6120010350 12240020700