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121835389920 = 253522310191117
BaseRepresentation
bin111000101110111110…
…1001000001111100000
3102122110220210002010220
41301131331020033200
53444004324434140
6131545335123040
711542123504266
oct1613575101740
9378426702126
10121835389920
11477409a07a2
121b742513480
13b6485187ca
145c7add2436
15328119ebd0
hex1c5df483e0

121835389920 has 192 divisors, whose sum is σ = 386226247680. Its totient is φ = 32283076608.

The previous prime is 121835389909. The next prime is 121835389927. The reversal of 121835389920 is 29983538121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121835389927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109073202 + ... + 109074318.

It is an arithmetic number, because the mean of its divisors is an integer number (2011595040).

Almost surely, 2121835389920 is an apocalyptic number.

121835389920 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 121835389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193113123840).

121835389920 is an abundant number, since it is smaller than the sum of its proper divisors (264390857760).

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

121835389920 is a wasteful number, since it uses less digits than its factorization.

121835389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 121835389920 in words is "one hundred twenty-one billion, eight hundred thirty-five million, three hundred eighty-nine thousand, nine hundred twenty".