Search a number
-
+
121022011200222 = 232111325946098671
BaseRepresentation
bin11011100001000110100001…
…111111001101001011011110
3120212111120222001011021201100
4123201012201333031023132
5111330311034331401342
61105220424443453530
734330360154100456
oct3341064177151336
9525446861137640
10121022011200222
113561a168315670
12116a6a628272a6
13526b432969432
1421c56d4930d66
15ded0d84ade4c
hex6e11a1fcd2de

121022011200222 has 48 divisors (see below), whose sum is σ = 286073606856960. Its totient is φ = 36670570011600.

The previous prime is 121022011200221. The next prime is 121022011200247. The reversal of 121022011200222 is 222002110220121.

It is a happy number.

121022011200222 is a `hidden beast` number, since 1 + 2 + 10 + 220 + 11 + 200 + 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 = 121022011200195 and 121022011200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022011200221) 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, 20424054 + ... + 25674617.

It is an arithmetic number, because the mean of its divisors is an integer number (5959866809520).

Almost surely, 2121022011200222 is an apocalyptic number.

121022011200222 is an abundant number, since it is smaller than the sum of its proper divisors (165051595656738).

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

121022011200222 is a wasteful number, since it uses less digits than its factorization.

121022011200222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46111949 (or 46111946 counting only the distinct ones).

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

Adding to 121022011200222 its reverse (222002110220121), we get a palindrome (343024121420343).

The spelling of 121022011200222 in words is "one hundred twenty-one trillion, twenty-two billion, eleven million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 13259 26518 39777 79554 119331 145849 238662 291698 437547 875094 1312641 2625282 46098671 92197342 138296013 276592026 414888039 507085381 829776078 1014170762 1521256143 3042512286 4563768429 9127536858 611222278789 1222444557578 1833666836367 3667333672734 5501000509101 6723445066679 11002001018202 13446890133358 20170335200037 40340670400074 60511005600111 121022011200222