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12111020200 = 23521932111487
BaseRepresentation
bin10110100011101111…
…11000000010101000
31011021001000120102201
423101313320002220
5144300410121300
65321433105544
7606056654536
oct132167700250
934231016381
1012111020200
11515539a804
12241bb582b4
1311b0166356
1482c67b156
154ad3a066a
hex2d1df80a8

12111020200 has 96 divisors (see below), whose sum is σ = 28457285760. Its totient is φ = 4793241600.

The previous prime is 12111020183. The next prime is 12111020209. The reversal of 12111020200 is 202011121.

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 (12111020209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8143857 + ... + 8145343.

It is an arithmetic number, because the mean of its divisors is an integer number (296430060).

Almost surely, 212111020200 is an apocalyptic number.

12111020200 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 12111020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228642880).

12111020200 is an abundant number, since it is smaller than the sum of its proper divisors (16346265560).

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

12111020200 is a wasteful number, since it uses less digits than its factorization.

12111020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1898 counting only the distinct ones).

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

Adding to 12111020200 its reverse (202011121), we get a palindrome (12313031321).

The spelling of 12111020200 in words is "twelve billion, one hundred eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 211 386 422 772 844 965 1055 1487 1544 1688 1930 2110 2974 3860 4220 4825 5275 5948 7435 7720 8440 9650 10550 11896 14870 19300 21100 29740 37175 38600 40723 42200 59480 74350 81446 148700 162892 203615 286991 297400 313757 325784 407230 573982 627514 814460 1018075 1147964 1255028 1434955 1568785 1628920 2036150 2295928 2510056 2869910 3137570 4072300 5739820 6275140 7174775 7843925 8144600 11479640 12550280 14349550 15687850 28699100 31375700 57398200 60555101 62751400 121110202 242220404 302775505 484440808 605551010 1211102020 1513877525 2422204040 3027755050 6055510100 12111020200