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120211977344 = 2719214123087
BaseRepresentation
bin110111111110100110…
…0010011010010000000
3102111021210001011202012
41233331030103102000
53432143231233334
6131120303512052
711453651643104
oct1577514232200
9374253034665
10120211977344
1146a88588908
121b36a8b8628
13b44a0a6254
145b65565904
1531d88c89ce
hex1bfd313480

120211977344 has 64 divisors (see below), whose sum is σ = 252217929600. Its totient is φ = 56913454080.

The previous prime is 120211977343. The next prime is 120211977359. The reversal of 120211977344 is 443779112021.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (120211977343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5195369 + ... + 5218455.

It is an arithmetic number, because the mean of its divisors is an integer number (3940905150).

Almost surely, 2120211977344 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 120211977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126108964800).

120211977344 is an abundant number, since it is smaller than the sum of its proper divisors (132005952256).

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

120211977344 is a wasteful number, since it uses less digits than its factorization.

120211977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25261 (or 25249 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 120211977344 in words is "one hundred twenty billion, two hundred eleven million, nine hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2141 2432 4282 8564 17128 23087 34256 40679 46174 68512 81358 92348 137024 162716 184696 274048 325432 369392 438653 650864 738784 877306 1301728 1477568 1754612 2603456 2955136 3509224 5206912 7018448 14036896 28073792 49429267 56147584 98858534 197717068 395434136 790868272 939156073 1581736544 1878312146 3163473088 3756624292 6326946176 7513248584 15026497168 30052994336 60105988672 120211977344