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120967380352 = 27721317197443
BaseRepresentation
bin111000010101000110…
…1111011110110000000
3102120020102110121212101
41300222031323312000
53440220122132402
6131323250440144
711511453524200
oct1605215736600
9376212417771
10120967380352
1147335a29315
121b53b893054
13b53a743090
145bd7a02400
15322ed91b87
hex1c2a37bd80

120967380352 has 384 divisors, whose sum is σ = 322005831840. Its totient is φ = 44710428672.

The previous prime is 120967380343. The next prime is 120967380353. The reversal of 120967380352 is 253083769021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120967380353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273063843 + ... + 273064285.

Almost surely, 2120967380352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120967380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161002915920).

120967380352 is an abundant number, since it is smaller than the sum of its proper divisors (201038451488).

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

120967380352 is a wasteful number, since it uses less digits than its factorization.

120967380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 120967380352 in words is "one hundred twenty billion, nine hundred sixty-seven million, three hundred eighty thousand, three hundred fifty-two".