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122022606220221 = 37231973128046019
BaseRepresentation
bin11011101111101010011010…
…000110010010101110111101
3121000001020200020012212012010
4123233222122012102232331
5111443204244143021341
61111304224511401433
734462561635324630
oct3357523206225675
9530036606185163
10122022606220221
11359755510a7923
121182896bb23279
1353118b42a8bc5
14221bcd5dc5c17
15e1914c0ac716
hex6efa9a192bbd

122022606220221 has 32 divisors (see below), whose sum is σ = 194121863792640. Its totient is φ = 66661781338944.

The previous prime is 122022606220201. The next prime is 122022606220391.

122022606220221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122022606220221 - 25 = 122022606220189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022606220201) 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, 63070051 + ... + 64975968.

It is an arithmetic number, because the mean of its divisors is an integer number (6066308243520).

Almost surely, 2122022606220221 is an apocalyptic number.

It is an amenable number.

122022606220221 is a deficient number, since it is larger than the sum of its proper divisors (72099257572419).

122022606220221 is a wasteful number, since it uses less digits than its factorization.

122022606220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128048025.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 12202260 and 6220221, that added together give a palindrome (18422481).

The spelling of 122022606220221 in words is "one hundred twenty-two trillion, twenty-two billion, six hundred six million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 21 23 69 161 483 1973 5919 13811 41433 45379 136137 317653 952959 128046019 384138057 896322133 2688966399 2945058437 8835175311 20615409059 61846227177 252634795487 757904386461 1768443568409 5305330705227 5810600296201 17431800888603 40674202073407 122022606220221