Search a number
-
+
122200010221122 = 2333479696503347
BaseRepresentation
bin11011110010001111101000…
…001100110110011001000010
3121000200012120211010212011000
4123302033220030312121002
5112004111110104033442
61111521524255032430
734511442112416351
oct3362175014663102
9530605524125130
10122200010221122
1135a338080274a9
121185722020b716
13532554714b5c2
142226725101998
15e1da81925d4c
hex6f23e8336642

122200010221122 has 32 divisors (see below), whose sum is σ = 271556400427200. Its totient is φ = 40733213416704.

The previous prime is 122200010221109. The next prime is 122200010221139. The reversal of 122200010221122 is 221122010002221.

It is a happy number.

122200010221122 is a `hidden beast` number, since 122 + 200 + 0 + 1 + 0 + 221 + 122 = 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 = 122200010221095 and 122200010221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15538653 + ... + 22041999.

It is an arithmetic number, because the mean of its divisors is an integer number (8486137513350).

Almost surely, 2122200010221122 is an apocalyptic number.

122200010221122 is an abundant number, since it is smaller than the sum of its proper divisors (149356390206078).

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

122200010221122 is a wasteful number, since it uses less digits than its factorization.

122200010221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851327 (or 6851321 counting only the distinct ones).

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

Adding to 122200010221122 its reverse (221122010002221), we get a palindrome (343322020223343).

The spelling of 122200010221122 in words is "one hundred twenty-two trillion, two hundred billion, ten million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 347969 695938 1043907 2087814 3131721 6263442 6503347 9395163 13006694 18790326 19510041 39020082 58530123 117060246 175590369 351180738 2262963152243 4525926304486 6788889456729 13577778913458 20366668370187 40733336740374 61100005110561 122200010221122