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11220122121201 = 33771836136979
BaseRepresentation
bin1010001101000110001101…
…1001001011001111110001
31110201122002121021000212000
42203101203121023033301
52432312302230334301
635510241500324213
72235425041301610
oct243214331131761
943648077230760
1011220122121201
11363647747a644
121312650243669
1363508c508406
142ab0b1c4b877
15146cdb46d786
hexa346364b3f1

11220122121201 has 32 divisors (see below), whose sum is σ = 19264596019200. Its totient is φ = 6321195553680.

The previous prime is 11220122121181. The next prime is 11220122121209. The reversal of 11220122121201 is 10212122102211.

11220122121201 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 221 + 21 + 201 = 666.

11220122121201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11220122121201 - 26 = 11220122121137 is a prime.

It is a super-2 number, since 2×112201221212012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11220122121209) 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, 418055071 + ... + 418081908.

It is an arithmetic number, because the mean of its divisors is an integer number (602018625600).

Almost surely, 211220122121201 is an apocalyptic number.

It is an amenable number.

11220122121201 is a deficient number, since it is larger than the sum of its proper divisors (8044473897999).

11220122121201 is an equidigital number, since it uses as much as digits as its factorization.

11220122121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836137066 (or 836137060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11220122121201 its reverse (10212122102211), we get a palindrome (21432244223412).

The spelling of 11220122121201 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 71 189 213 497 639 1491 1917 4473 13419 836136979 2508410937 5852958853 7525232811 17558876559 22575698433 52676629677 59365725509 158029889031 178097176527 415560078563 534291529581 1246680235689 1602874588743 3740040707067 11220122121201