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121332102000 = 24353373831427
BaseRepresentation
bin111000011111111110…
…1001111001101110000
3102121011211202101220120
41300333331033031300
53441442004231000
6131423400010240
711523502564464
oct1607775171560
9377154671816
10121332102000
114750289906a
121b621a60980
13b598181cc5
145c302224a4
153251dd76a0
hex1c3ff4f370

121332102000 has 320 divisors, whose sum is σ = 403078201344. Its totient is φ = 31376563200.

The previous prime is 121332101999. The next prime is 121332102107. The reversal of 121332102000 is 201233121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85025287 + ... + 85026713.

Almost surely, 2121332102000 is an apocalyptic number.

121332102000 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 121332102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201539100672).

121332102000 is an abundant number, since it is smaller than the sum of its proper divisors (281746099344).

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

121332102000 is a wasteful number, since it uses less digits than its factorization.

121332102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121332102000 its reverse (201233121), we get a palindrome (121533335121).

The spelling of 121332102000 in words is "one hundred twenty-one billion, three hundred thirty-two million, one hundred two thousand".