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222120101201201 = 717109148914937703
BaseRepresentation
bin110010100000010001011101…
…101110101100010100110001
31002010110110210202112120122022
4302200101131232230110301
5213103203431401414301
62104224322114121225
764533435113244230
oct6240213556542461
91063413722476568
10222120101201201
1164857673518245
1220ab4444580215
1396c2ab2c657b8
143cbc95529cb17
151aa2cc0be8d1b
hexca045dbac531

222120101201201 has 64 divisors (see below), whose sum is σ = 271649129241600. Its totient is φ = 177284291936256.

The previous prime is 222120101201183. The next prime is 222120101201231. The reversal of 222120101201201 is 102102101021222.

It is a cyclic number.

It is not a de Polignac number, because 222120101201201 - 246 = 151751357023537 is a prime.

It is a super-3 number, since 3×2221201012012013 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 222120101201201.

It is not an unprimeable number, because it can be changed into a prime (222120101201231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28835527916 + ... + 28835535618.

It is an arithmetic number, because the mean of its divisors is an integer number (4244517644400).

Almost surely, 2222120101201201 is an apocalyptic number.

It is an amenable number.

222120101201201 is a deficient number, since it is larger than the sum of its proper divisors (49529028040399).

222120101201201 is a wasteful number, since it uses less digits than its factorization.

222120101201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222120101201201 its reverse (102102101021222), we get a palindrome (324222202222423).

The spelling of 222120101201201 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred one million, two hundred one thousand, two hundred one".

Divisors: 1 7 17 109 119 763 1489 1493 1853 7703 10423 10451 12971 25313 25381 53921 130951 162301 162737 177191 177667 839627 916657 1136107 1139159 2223077 2759117 2766529 5877389 11469767 11500579 14273659 15561539 19313819 19365703 37792309 80288369 80504053 99915613 194986039 195509843 242315393 264546163 1250204603 1253563111 1364902273 1368568901 1696207751 4119361681 8751432221 8774941777 17124362131 21253478251 21310572887 28835531767 119870534917 148774347757 149174010209 291114156227 1866555472279 2037799093589 13065888305953 31731443028743 222120101201201