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12200213424 = 2437191911061
BaseRepresentation
bin10110101110011000…
…00111101110110000
31011111020212001112110
423113030013232300
5144441223312144
65334340525320
7611222050230
oct132714075660
934436761473
1012200213424
1151a077aa13
1224459b0840
1311c5794cc9
1483a457cc0
154b611d0b9
hex2d7307bb0

12200213424 has 80 divisors (see below), whose sum is σ = 37915470080. Its totient is φ = 3302311680.

The previous prime is 12200213411. The next prime is 12200213429. The reversal of 12200213424 is 42431200221.

It is a super-2 number, since 2×122002134242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12200213424.

It is not an unprimeable number, because it can be changed into a prime (12200213429) 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, 949147 + ... + 961914.

It is an arithmetic number, because the mean of its divisors is an integer number (473943376).

Almost surely, 212200213424 is an apocalyptic number.

12200213424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12200213424 is an abundant number, since it is smaller than the sum of its proper divisors (25715256656).

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

12200213424 is a wasteful number, since it uses less digits than its factorization.

12200213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911098 (or 1911092 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12200213424 its reverse (42431200221), we get a palindrome (54631413645).

The spelling of 12200213424 in words is "twelve billion, two hundred million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 1911061 3822122 5733183 7644244 11466366 13377427 15288488 22932732 26754854 30576976 36310159 40132281 45865464 53509708 72620318 80264562 91730928 107019416 108930477 145240636 160529124 214038832 217860954 254171113 290481272 321058248 435721908 508342226 580962544 642116496 762513339 871443816 1016684452 1525026678 1742887632 2033368904 3050053356 4066737808 6100106712 12200213424