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201201212000 = 2553265918917
BaseRepresentation
bin1011101101100010000…
…1101101101001100000
3201020100001120120120202
42323120201231221200
511244030002241000
6232233000124332
720351645040545
oct2733041555140
9636301516522
10201201212000
1178368925598
1232bb1a666a8
1315c861491c9
149a49848bcc
155378b4ddd5
hex2ed886da60

201201212000 has 96 divisors (see below), whose sum is σ = 494563436640. Its totient is φ = 80445964800.

The previous prime is 201201211973. The next prime is 201201212029. The reversal of 201201212000 is 212102102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10626542 + ... + 10645458.

It is an arithmetic number, because the mean of its divisors is an integer number (5151702465).

Almost surely, 2201201212000 is an apocalyptic number.

201201212000 is a gapful number since it is divisible by the number (20) 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 201201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247281718320).

201201212000 is an abundant number, since it is smaller than the sum of its proper divisors (293362224640).

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

201201212000 is a wasteful number, since it uses less digits than its factorization.

201201212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21601 (or 21583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201201212000 its reverse (212102102), we get a palindrome (201413314102).

The spelling of 201201212000 in words is "two hundred one billion, two hundred one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2659 4000 5318 10636 13295 18917 21272 26590 37834 42544 53180 66475 75668 85088 94585 106360 132950 151336 189170 212720 265900 302672 332375 378340 425440 472925 531800 605344 664750 756680 945850 1063600 1329500 1513360 1891700 2127200 2364625 2659000 3026720 3783400 4729250 5318000 7566800 9458500 10636000 15133600 18917000 37834000 50300303 75668000 100600606 201201212 251501515 402402424 503003030 804804848 1006006060 1257507575 1609609696 2012012120 2515015150 4024024240 5030030300 6287537875 8048048480 10060060600 12575075750 20120121200 25150151500 40240242400 50300303000 100600606000 201201212000