Search a number
-
+
121222112202000 = 24325329429228841
BaseRepresentation
bin11011100100000000111000…
…111011111100110100010000
3120220012201110102111101121100
4123210000320323330310100
5111342100341210431000
61105452400342424400
734351002642411345
oct3344007073746420
9526181412441540
10121222112202000
11356970110a1a07
12117197a8132100
135284271b90074
1421d12781c47cc
15e033ea734a00
hex6e4038efcd10

121222112202000 has 240 divisors, whose sum is σ = 423404667532080. Its totient is φ = 32324656896000.

The previous prime is 121222112201977. The next prime is 121222112202029. The reversal of 121222112202000 is 202211222121.

It is a happy number.

121222112202000 is a `hidden beast` number, since 1 + 21 + 2 + 221 + 1 + 220 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23296917049344 + 97925195152656 = 4826688^2 + 9895716^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529607580 + ... + 529836420.

It is an arithmetic number, because the mean of its divisors is an integer number (1764186114717).

Almost surely, 2121222112202000 is an apocalyptic number.

121222112202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222112202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211702333766040).

121222112202000 is an abundant number, since it is smaller than the sum of its proper divisors (302182555330080).

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

121222112202000 is a wasteful number, since it uses less digits than its factorization.

121222112202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258299 (or 258280 counting only the distinct ones).

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

Adding to 121222112202000 its reverse (202211222121), we get a palindrome (121424323424121).

The spelling of 121222112202000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred two thousand".