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121889471232 = 28317195373127
BaseRepresentation
bin111000110000100101…
…1011011101100000000
3102122121200112200202110
41301201023123230000
53444112201034412
6131554550215320
711543351260614
oct1614113335400
9378550480673
10121889471232
11477694798a1
121b758654540
13b6567a2799
145c8426d344
153285cd3d3c
hex1c612dbb00

121889471232 has 576 divisors, whose sum is σ = 376373329920. Its totient is φ = 34780741632.

The previous prime is 121889471201. The next prime is 121889471243. The reversal of 121889471232 is 232174988121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959759553 + ... + 959759679.

It is an arithmetic number, because the mean of its divisors is an integer number (653425920).

Almost surely, 2121889471232 is an apocalyptic number.

121889471232 is a gapful number since it is divisible by the number (12) 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 121889471232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188186664960).

121889471232 is an abundant number, since it is smaller than the sum of its proper divisors (254483858688).

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

121889471232 is a wasteful number, since it uses less digits than its factorization.

121889471232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The spelling of 121889471232 in words is "one hundred twenty-one billion, eight hundred eighty-nine million, four hundred seventy-one thousand, two hundred thirty-two".