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121449076320 = 253511137922397
BaseRepresentation
bin111000100011011101…
…1011101011001100000
3102121110222212022111210
41301012323131121200
53442211430420240
6131443135110120
711526423054465
oct1610673353140
9377428768453
10121449076320
1147562923660
121b655072340
13b5b6489990
145c4199166c
15325c2e1780
hex1c46edd660

121449076320 has 384 divisors, whose sum is σ = 455156029440. Its totient is φ = 26832199680.

The previous prime is 121449076319. The next prime is 121449076367. The reversal of 121449076320 is 23670944121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5411362 + ... + 5433758.

It is an arithmetic number, because the mean of its divisors is an integer number (1185302160).

Almost surely, 2121449076320 is an apocalyptic number.

121449076320 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 121449076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227578014720).

121449076320 is an abundant number, since it is smaller than the sum of its proper divisors (333706953120).

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

121449076320 is a wasteful number, since it uses less digits than its factorization.

121449076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22518 (or 22510 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 121449076320 in words is "one hundred twenty-one billion, four hundred forty-nine million, seventy-six thousand, three hundred twenty".