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12121201000 = 235368317747
BaseRepresentation
bin10110100100111101…
…01101100101101000
31011021202011210212101
423102132231211220
5144311011413000
65322435223144
7606242336266
oct132236554550
934252153771
1012121201000
115160113797
122423447ab4
1311b22bc2ac
1482db6b436
154ae211e6a
hex2d27ad968

12121201000 has 64 divisors (see below), whose sum is σ = 28406738880. Its totient is φ = 4841108800.

The previous prime is 12121200979. The next prime is 12121201007. The reversal of 12121201000 is 10212121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12121201007) 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, 674127 + ... + 691873.

It is an arithmetic number, because the mean of its divisors is an integer number (443855295).

Almost surely, 212121201000 is an apocalyptic number.

12121201000 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 12121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203369440).

12121201000 is an abundant number, since it is smaller than the sum of its proper divisors (16285537880).

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

12121201000 is a wasteful number, since it uses less digits than its factorization.

12121201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18451 (or 18437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12121201000 its reverse (10212121), we get a palindrome (12131413121).

The spelling of 12121201000 in words is "twelve billion, one hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 683 1000 1366 2732 3415 5464 6830 13660 17075 17747 27320 34150 35494 68300 70988 85375 88735 136600 141976 170750 177470 341500 354940 443675 683000 709880 887350 1774700 2218375 3549400 4436750 8873500 12121201 17747000 24242402 48484804 60606005 96969608 121212010 242424020 303030025 484848040 606060050 1212120100 1515150125 2424240200 3030300250 6060600500 12121201000