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121030020000 = 2532545091321
BaseRepresentation
bin111000010110111110…
…0111000101110100000
3102120101210100001022100
41300231330320232200
53440332141120000
6131333405210400
711513144124111
oct1605574705640
9376353301270
10121030020000
114736832241a
121b558860a00
13b54a705666
145c0206a208
153235616a00
hex1c2df38ba0

121030020000 has 360 divisors, whose sum is σ = 431257406580. Its totient is φ = 32186880000.

The previous prime is 121030019953. The next prime is 121030020019. The reversal of 121030020000 is 20030121.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2360793744 + 118669226256 = 48588^2 + 344484^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 91619340 + ... + 91620660.

Almost surely, 2121030020000 is an apocalyptic number.

121030020000 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 121030020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215628703290).

121030020000 is an abundant number, since it is smaller than the sum of its proper divisors (310227386580).

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

121030020000 is a wasteful number, since it uses less digits than its factorization.

121030020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 121030020000 its reverse (20030121), we get a palindrome (121050050121).

The spelling of 121030020000 in words is "one hundred twenty-one billion, thirty million, twenty thousand".