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12201322000 = 245373312633
BaseRepresentation
bin10110101110100000…
…10110011000010000
31011111022221101012211
423113100112120100
5144442014301000
65334420401504
7611234345230
oct132720263020
934438841184
1012201322000
1151a136789a
122446246294
1311c5a9277a
1483a665cc0
154b628b7ba
hex2d7416610

12201322000 has 160 divisors (see below), whose sum is σ = 33832191744. Its totient is φ = 4169088000.

The previous prime is 12201321973. The next prime is 12201322009. The reversal of 12201322000 is 22310221.

It is not an unprimeable number, because it can be changed into a prime (12201322009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4632684 + ... + 4635316.

Almost surely, 212201322000 is an apocalyptic number.

12201322000 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 12201322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916095872).

12201322000 is an abundant number, since it is smaller than the sum of its proper divisors (21630869744).

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

12201322000 is a wasteful number, since it uses less digits than its factorization.

12201322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12201322000 its reverse (22310221), we get a palindrome (12223632221).

The spelling of 12201322000 in words is "twelve billion, two hundred one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 331 350 400 500 560 662 700 875 1000 1324 1400 1655 1750 2000 2317 2633 2648 2800 3310 3500 4634 5266 5296 6620 7000 8275 9268 10532 11585 13165 13240 14000 16550 18431 18536 21064 23170 26330 26480 33100 36862 37072 41375 42128 46340 52660 57925 65825 66200 73724 82750 92155 92680 105320 115850 131650 132400 147448 165500 184310 185360 210640 231700 263300 289625 294896 329125 331000 368620 460775 463400 526600 579250 658250 662000 737240 871523 921550 926800 1053200 1158500 1316500 1474480 1743046 1843100 2303875 2317000 2633000 3486092 3686200 4357615 4607750 4634000 5266000 6100661 6972184 7372400 8715230 9215500 12201322 13944368 17430460 18431000 21788075 24402644 30503305 34860920 36862000 43576150 48805288 61006610 69721840 87152300 97610576 108940375 122013220 152516525 174304600 217880750 244026440 305033050 348609200 435761500 488052880 610066100 762582625 871523000 1220132200 1525165250 1743046000 2440264400 3050330500 6100661000 12201322000