Search a number
-
+
121022012100222 = 232198723511439267
BaseRepresentation
bin11011100001000110100010…
…000010101000111001111110
3120212111120222002212000021200
4123201012202002220321332
5111330311040044201342
61105220424515040330
734330360164536412
oct3341064202507176
9525446862760250
10121022012100222
113561a16887a872
12116a6a62ba00a6
13526b432bc2c8c
1421c56d4ac6d42
15ded0d85da94c
hex6e11a20a8e7e

121022012100222 has 48 divisors (see below), whose sum is σ = 262458096106752. Its totient is φ = 40303190091600.

The previous prime is 121022012100193. The next prime is 121022012100239. The reversal of 121022012100222 is 222001210220121.

It is a happy number.

121022012100222 is a `hidden beast` number, since 1 + 2 + 10 + 220 + 1 + 210 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121022012100195 and 121022012100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83366233 + ... + 84805499.

It is an arithmetic number, because the mean of its divisors is an integer number (5467877002224).

Almost surely, 2121022012100222 is an apocalyptic number.

121022012100222 is an abundant number, since it is smaller than the sum of its proper divisors (141436084006530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121022012100222 is a wasteful number, since it uses less digits than its factorization.

121022012100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443613 (or 1443610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121022012100222 its reverse (222001210220121), we get a palindrome (343023222320343).

The spelling of 121022012100222 in words is "one hundred twenty-one trillion, twenty-two billion, twelve million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 1987 2351 3974 4702 5961 7053 11922 14106 17883 21159 35766 42318 1439267 2878534 4317801 4671437 8635602 9342874 12953403 14014311 25906806 28028622 42042933 84085866 2859823529 3383716717 5719647058 6767433434 8579470587 10151150151 17158941174 20302300302 25738411761 30453450453 51476823522 60906900906 6723445116679 13446890233358 20170335350037 40340670700074 60511006050111 121022012100222