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12212010202001 = 292611316126213
BaseRepresentation
bin1011000110110101010010…
…0001111011001110010001
31121020110022222200021011012
42301231110201323032101
53100040144102431001
641550041532300305
72400200666003501
oct261552441731621
947213288607135
1012212010202001
1139890a2435585
121452929611695
136a778400605c
143030c8bb5a01
151629e097d2bb
hexb1b5487b391

12212010202001 has 8 divisors (see below), whose sum is σ = 12633598571880. Its totient is φ = 11790454136832.

The previous prime is 12212010201961. The next prime is 12212010202003. The reversal of 12212010202001 is 10020201021221.

12212010202001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 622207017601 + 11589803184400 = 788801^2 + 3404380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12212010202001 - 226 = 12211943093137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12212010202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7305830 + ... + 8820383.

It is an arithmetic number, because the mean of its divisors is an integer number (1579199821485).

Almost surely, 212212010202001 is an apocalyptic number.

It is an amenable number.

12212010202001 is a deficient number, since it is larger than the sum of its proper divisors (421588369879).

12212010202001 is a wasteful number, since it uses less digits than its factorization.

12212010202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16152355.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212010202001 its reverse (10020201021221), we get a palindrome (22232211223222).

The spelling of 12212010202001 in words is "twelve trillion, two hundred twelve billion, ten million, two hundred two thousand, one".

Divisors: 1 29 26113 757277 16126213 467660177 421103800069 12212010202001