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122021202120221 = 4153271370155987
BaseRepresentation
bin11011101111101001000110…
…011010000100111000011101
3121000001010001101011012002102
4123233221012122010320131
5111443143410220321341
61111303433312534445
734462512065554625
oct3357510632047035
9530033041135072
10122021202120221
11359749a05687a8
1211828639851425
13531171c4231c1
14221bc01727885
15e190b8ba7c9b
hex6efa46684e1d

122021202120221 has 32 divisors (see below), whose sum is σ = 127862538564096. Its totient is φ = 116334429120000.

The previous prime is 122021202120197. The next prime is 122021202120229.

122021202120221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122021202120221 - 26 = 122021202120157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122021202120193 and 122021202120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021202120229) 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, 2179427990 + ... + 2179483976.

It is an arithmetic number, because the mean of its divisors is an integer number (3995704330128).

Almost surely, 2122021202120221 is an apocalyptic number.

It is an amenable number.

122021202120221 is a deficient number, since it is larger than the sum of its proper divisors (5841336443875).

122021202120221 is a wasteful number, since it uses less digits than its factorization.

122021202120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60053.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 12202120 and 2120221, that added together give a palindrome (14322341).

The spelling of 122021202120221 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 41 53 271 2173 3701 11111 14363 55987 151741 196153 588883 1002971 2295467 2967311 8042273 15172477 41121811 53157463 121659751 207207887 622071557 804141281 2179455983 8495523367 10982018011 32969792521 56153337377 450262738451 2302286832457 2976126880981 122021202120221