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122012222210221 = 7229385122296451
BaseRepresentation
bin11011101111100000101111…
…001010011100000010101101
3121000000020212112212111101011
4123233200233022130002231
5111443022012341211341
61111255350250145221
734462043415566200
oct3357405712340255
9530006775774334
10122012222210221
1135971102649482
1211826952422211
13531091ab882a5
14221b5ccc61937
15e18c40648b81
hex6ef82f29c0ad

122012222210221 has 24 divisors (see below), whose sum is σ = 146864945607840. Its totient is φ = 100949407020000.

The previous prime is 122012222210171. The next prime is 122012222210233.

122012222210221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122012222210221 - 213 = 122012222202029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122012222210192 and 122012222210201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012222210521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5675955 + ... + 16620496.

It is an arithmetic number, because the mean of its divisors is an integer number (6119372733660).

Almost surely, 2122012222210221 is an apocalyptic number.

It is an amenable number.

122012222210221 is a deficient number, since it is larger than the sum of its proper divisors (24852723397619).

122012222210221 is a wasteful number, since it uses less digits than its factorization.

122012222210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22300345 (or 22300338 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 122012222210221 in words is "one hundred twenty-two trillion, twelve billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 29 49 203 1421 3851 26957 111679 188699 781753 5472271 22296451 156075157 646597079 1092526099 4526179553 31683256871 85863632801 601045429607 2490045351229 4207318007249 17430317458603 122012222210221