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12201021200 = 245260150753
BaseRepresentation
bin10110101110011110…
…01100111100010000
31011111022101002121002
423113033030330100
5144441430134300
65334410121132
7611231653244
oct132717147420
934438332532
1012201021200
1151a11818a5
1224461201a8
1311c59b8894
1483a5c8424
154b622c5d5
hex2d73ccf10

12201021200 has 60 divisors (see below), whose sum is σ = 29362305588. Its totient is φ = 4872192000.

The previous prime is 12201021187. The next prime is 12201021229. The reversal of 12201021200 is 212010221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1035294976 + 11165726224 = 32176^2 + 105668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215024 + ... + 265776.

Almost surely, 212201021200 is an apocalyptic number.

12201021200 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 12201021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681152794).

12201021200 is an abundant number, since it is smaller than the sum of its proper divisors (17161284388).

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

12201021200 is a wasteful number, since it uses less digits than its factorization.

12201021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51372 (or 51361 counting only the distinct ones).

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

Adding to 12201021200 its reverse (212010221), we get a palindrome (12413031421).

The spelling of 12201021200 in words is "twelve billion, two hundred one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 601 1202 2404 3005 4808 6010 9616 12020 15025 24040 30050 48080 50753 60100 101506 120200 203012 240400 253765 406024 507530 812048 1015060 1268825 2030120 2537650 4060240 5075300 10150600 20301200 30502553 61005106 122010212 152512765 244020424 305025530 488040848 610051060 762563825 1220102120 1525127650 2440204240 3050255300 6100510600 12201021200