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121332120000 = 2635471341271
BaseRepresentation
bin111000011111111110…
…1010011100111000000
3102121011211210022121020
41300333331103213000
53441442010320000
6131423400225440
711523503001120
oct1607775234700
9377154708536
10121332120000
1147502900643
121b621a6b280
13b59818a260
145c30228c80
153251ddcba0
hex1c3ff539c0

121332120000 has 1120 divisors, whose sum is σ = 507634305024. Its totient is φ = 24883200000.

The previous prime is 121332119981. The next prime is 121332120011. The reversal of 121332120000 is 21233121.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 447719865 + ... + 447720135.

Almost surely, 2121332120000 is an apocalyptic number.

121332120000 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 121332120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253817152512).

121332120000 is an abundant number, since it is smaller than the sum of its proper divisors (386302185024).

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

121332120000 is a wasteful number, since it uses less digits than its factorization.

121332120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

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

Adding to 121332120000 its reverse (21233121), we get a palindrome (121353353121).

It can be divided in two parts, 1213321 and 20000, that added together give a palindrome (1233321).

The spelling of 121332120000 in words is "one hundred twenty-one billion, three hundred thirty-two million, one hundred twenty thousand".