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121020120000 = 26325413191361
BaseRepresentation
bin111000010110101011…
…1000111101111000000
3102120101002201002001200
41300231113013233000
53440322122320000
6131332413101200
711512664022123
oct1605527075700
9376332632050
10121020120000
11473627803aa
121b555487800
13b54864a480
145c00a103ba
15323480d500
hex1c2d5c7bc0

121020120000 has 840 divisors, whose sum is σ = 491737406160. Its totient is φ = 28200960000.

The previous prime is 121020119971. The next prime is 121020120017. The reversal of 121020120000 is 21020121.

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

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 119 ways as a sum of consecutive naturals, for example, 88919320 + ... + 88920680.

It is an arithmetic number, because the mean of its divisors is an integer number (585401674).

Almost surely, 2121020120000 is an apocalyptic number.

121020120000 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 121020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245868703080).

121020120000 is an abundant number, since it is smaller than the sum of its proper divisors (370717286160).

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

121020120000 is a wasteful number, since it uses less digits than its factorization.

121020120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1403 counting only the distinct ones).

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

Adding to 121020120000 its reverse (21020121), we get a palindrome (121041140121).

The spelling of 121020120000 in words is "one hundred twenty-one billion, twenty million, one hundred twenty thousand".