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121448106000 = 243353131131531
BaseRepresentation
bin111000100011011011…
…1110000100000010000
3102121110221001000111000
41301012313300200100
53442211203343000
6131443102222000
711526411603534
oct1610667604020
9377427030430
10121448106000
1147562320641
121b654884900
13b5b620a120
145c417bbbc4
15325c19e000
hex1c46df0810

121448106000 has 640 divisors, whose sum is σ = 472974727680. Its totient is φ = 29611008000.

The previous prime is 121448105957. The next prime is 121448106011. The reversal of 121448106000 is 601844121.

It is a happy number.

121448106000 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 48 + 10 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79325235 + ... + 79326765.

It is an arithmetic number, because the mean of its divisors is an integer number (739023012).

Almost surely, 2121448106000 is an apocalyptic number.

121448106000 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 121448106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236487363840).

121448106000 is an abundant number, since it is smaller than the sum of its proper divisors (351526621680).

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

121448106000 is a wasteful number, since it uses less digits than its factorization.

121448106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 121448106000 in words is "one hundred twenty-one billion, four hundred forty-eight million, one hundred six thousand".