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121797216000 = 283353294861
BaseRepresentation
bin111000101101110101…
…1100000011100000000
3102122101020221122101000
41301123223200130000
53443420041403000
6131541453012000
711541151153125
oct1613353403400
9378336848330
10121797216000
11477213980a9
121b731784000
13b6406411a5
145c75cd674c
15327cb5e000
hex1c5bae0700

121797216000 has 576 divisors, whose sum is σ = 465095030400. Its totient is φ = 31352832000.

The previous prime is 121797215993. The next prime is 121797216007. The reversal of 121797216000 is 612797121.

It is a happy number.

121797216000 is a `hidden beast` number, since 1 + 21 + 7 + 9 + 7 + 21 + 600 + 0 = 666.

121797216000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121797215993) and next prime (121797216007).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121797216007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25053570 + ... + 25058430.

It is an arithmetic number, because the mean of its divisors is an integer number (807456650).

Almost surely, 2121797216000 is an apocalyptic number.

121797216000 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 121797216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232547515200).

121797216000 is an abundant number, since it is smaller than the sum of its proper divisors (343297814400).

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

121797216000 is an equidigital number, since it uses as much as digits as its factorization.

121797216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 121797216000 in words is "one hundred twenty-one billion, seven hundred ninety-seven million, two hundred sixteen thousand".