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12000221220199 = 2931149167536447
BaseRepresentation
bin1010111010100000010011…
…1011000100110101100111
31120111012200001100020212011
42232220010323010311213
53033102423113021244
641304454151335051
72345662445240242
oct256500473046547
946435601306764
1012000221220199
1139072a1040913
121419881981487
13690801496804
142d6b57126259
1515c24756c434
hexaea04ec4d67

12000221220199 has 32 divisors (see below), whose sum is σ = 12977750016000. Its totient is φ = 11070700475520.

The previous prime is 12000221220149. The next prime is 12000221220217. The reversal of 12000221220199 is 99102212200021.

12000221220199 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12000221220199 - 221 = 12000219123047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12000221220199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000221220149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22101594 + ... + 22638040.

It is an arithmetic number, because the mean of its divisors is an integer number (405554688000).

Almost surely, 212000221220199 is an apocalyptic number.

12000221220199 is a deficient number, since it is larger than the sum of its proper divisors (977528795801).

12000221220199 is a wasteful number, since it uses less digits than its factorization.

12000221220199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536823.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 12000221220199 in words is "twelve trillion, two hundred twenty-one million, two hundred twenty thousand, one hundred ninety-nine".

Divisors: 1 29 31 149 167 899 4321 4619 4843 5177 24883 133951 150133 536447 721607 771373 15556963 16629857 22369817 79930603 89586649 482265853 2317987487 2477848693 2598012821 2777186119 13348410701 71857612097 80538397451 387103910329 413800731731 12000221220199