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121997520 = 243252353139
BaseRepresentation
bin1110100010110…
…00100011010000
322111120010010200
413101120203100
5222212410040
620034455200
73010650621
oct721304320
9274503120
10121997520
11629565a7
1234a34500
131c3761a8
14122b9a48
15aa9c630
hex74588d0

121997520 has 240 divisors, whose sum is σ = 438721920. Its totient is φ = 30311424.

The previous prime is 121997507. The next prime is 121997531. The reversal of 121997520 is 25799121.

121997520 is a `hidden beast` number, since 121 + 9 + 9 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877611 + ... + 877749.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2121997520 is an apocalyptic number.

121997520 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 121997520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

121997520 is an abundant number, since it is smaller than the sum of its proper divisors (316724400).

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

121997520 is a wasteful number, since it uses less digits than its factorization.

121997520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 121997520 is about 11045.2487522916. The cubic root of 121997520 is about 495.9642057069.

The spelling of 121997520 in words is "one hundred twenty-one million, nine hundred ninety-seven thousand, five hundred twenty".