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12200011431432 = 23311194413237701
BaseRepresentation
bin1011000110001000100101…
…0110001111111000001000
31121012022100202212120021020
42301202021112033320020
53044341110411301212
641540335145112440
72366264441100216
oct261421126177010
947168322776236
1012200011431432
113983aa5443670
12145053b188720
136a65c11b2006
143026ab3d7cb6
1516253c3a1d8c
hexb188958fe08

12200011431432 has 64 divisors (see below), whose sum is σ = 33273069572160. Its totient is φ = 3696938592000.

The previous prime is 12200011431431. The next prime is 12200011431451. The reversal of 12200011431432 is 23413411000221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12200011431431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51206182 + ... + 51443882.

It is an arithmetic number, because the mean of its divisors is an integer number (519891712065).

Almost surely, 212200011431432 is an apocalyptic number.

12200011431432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200011431432 is an abundant number, since it is smaller than the sum of its proper divisors (21073058140728).

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

12200011431432 is a wasteful number, since it uses less digits than its factorization.

12200011431432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432134 (or 432130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12200011431432 its reverse (23413411000221), we get a palindrome (35613422431653).

The spelling of 12200011431432 in words is "twelve trillion, two hundred billion, eleven million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 194413 237701 388826 475402 583239 713103 777652 950804 1166478 1426206 1555304 1901608 2138543 2332956 2614711 2852412 4277086 4665912 5229422 5704824 6415629 7844133 8554172 10458844 12831258 15688266 17108344 20917688 25662516 31376532 51325032 62753064 46212164513 92424329026 138636493539 184848658052 277272987078 369697316104 508333809643 554545974156 1016667619286 1109091948312 1525001428929 2033335238572 3050002857858 4066670477144 6100005715716 12200011431432