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121022121000 = 2335311149151163
BaseRepresentation
bin111000010110101111…
…0110000010000101000
3102120101020110201220210
41300231132300100220
53440323130333000
6131332524021120
711513020025004
oct1605536602050
9376336421823
10121022121000
1147363917820
121b5560917a0
13b548b9b1b1
145c00db1704
153234aa6350
hex1c2d7b0428

121022121000 has 512 divisors, whose sum is σ = 419986944000. Its totient is φ = 28771200000.

The previous prime is 121022120987. The next prime is 121022121007. The reversal of 121022121000 is 121220121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121022121007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 742466919 + ... + 742467081.

It is an arithmetic number, because the mean of its divisors is an integer number (820287000).

Almost surely, 2121022121000 is an apocalyptic number.

121022121000 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 121022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209993472000).

121022121000 is an abundant number, since it is smaller than the sum of its proper divisors (298964823000).

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

121022121000 is a wasteful number, since it uses less digits than its factorization.

121022121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121022121000 its reverse (121220121), we get a palindrome (121143341121).

The spelling of 121022121000 in words is "one hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand".