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121002000210 = 232571337419953
BaseRepresentation
bin111000010110001000…
…1111111111101010010
3102120022211121111101100
41300230101333331102
53440303003001320
6131330524445230
711512354013550
oct1605421777522
9376284544340
10121002000210
1147353524773
121b54b3a9816
13b544974ac0
145bdc454bd0
153232e2e790
hex1c2c47ff52

121002000210 has 384 divisors, whose sum is σ = 399038814720. Its totient is φ = 24754802688.

The previous prime is 121002000209. The next prime is 121002000211. The reversal of 121002000210 is 12000200121.

It is an interprime number because it is at equal distance from previous prime (121002000209) and next prime (121002000211).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121002000192 and 121002000201.

It is not an unprimeable number, because it can be changed into a prime (121002000211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126969094 + ... + 126970046.

It is an arithmetic number, because the mean of its divisors is an integer number (1039163580).

Almost surely, 2121002000210 is an apocalyptic number.

121002000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199519407360).

121002000210 is an abundant number, since it is smaller than the sum of its proper divisors (278036814510).

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

121002000210 is a wasteful number, since it uses less digits than its factorization.

121002000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121002000210 its reverse (12000200121), we get a palindrome (133002200331).

The spelling of 121002000210 in words is "one hundred twenty-one billion, two million, two hundred ten", and thus it is an aban number.