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121102002000 = 24325377113537
BaseRepresentation
bin111000011001000111…
…1011110011101010000
3102120120210210010001100
41300302033132131100
53441004103031000
6131344500104400
711515010014140
oct1606217363520
9376523703040
10121102002000
11473a4a17581
121b578995100
13b55c5b9365
145c0b846920
15323bad4a00
hex1c323de750

121102002000 has 480 divisors, whose sum is σ = 490237622784. Its totient is φ = 27288576000.

The previous prime is 121102001971. The next prime is 121102002037. The reversal of 121102002000 is 200201121.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8939232 + ... + 8952768.

Almost surely, 2121102002000 is an apocalyptic number.

121102002000 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 121102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245118811392).

121102002000 is an abundant number, since it is smaller than the sum of its proper divisors (369135620784).

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

121102002000 is a wasteful number, since it uses less digits than its factorization.

121102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13644 (or 13625 counting only the distinct ones).

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

Adding to 121102002000 its reverse (200201121), we get a palindrome (121302203121).

The spelling of 121102002000 in words is "one hundred twenty-one billion, one hundred two million, two thousand".