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12002120200 = 2352733725439
BaseRepresentation
bin10110010110110000…
…11101001000001000
31010222110002212201101
423023120131020020
5144040020321300
65302543031144
7603265224040
oct131330351010
933873085641
1012002120200
1150a997a604
1223ab59b4b4
131193727895
1481c010720
154a3a3db6a
hex2cb61d208

12002120200 has 96 divisors (see below), whose sum is σ = 31987238400. Its totient is φ = 4102640640.

The previous prime is 12002120183. The next prime is 12002120213. The reversal of 12002120200 is 202120021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459081 + ... + 484519.

It is an arithmetic number, because the mean of its divisors is an integer number (333200400).

Almost surely, 212002120200 is an apocalyptic number.

12002120200 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 12002120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993619200).

12002120200 is an abundant number, since it is smaller than the sum of its proper divisors (19985118200).

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

12002120200 is a wasteful number, since it uses less digits than its factorization.

12002120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25799 (or 25790 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002120200 its reverse (202120021), we get a palindrome (12204240221).

The spelling of 12002120200 in words is "twelve billion, two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 337 350 674 700 1348 1400 1685 2359 2696 3370 4718 6740 8425 9436 11795 13480 16850 18872 23590 25439 33700 47180 50878 58975 67400 94360 101756 117950 127195 178073 203512 235900 254390 356146 471800 508780 635975 712292 890365 1017560 1271950 1424584 1780730 2543900 3561460 4451825 5087800 7122920 8572943 8903650 17145886 17807300 34291772 35614600 42864715 60010601 68583544 85729430 120021202 171458860 214323575 240042404 300053005 342917720 428647150 480084808 600106010 857294300 1200212020 1500265025 1714588600 2400424040 3000530050 6001060100 12002120200