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120441014112 = 25317263280607
BaseRepresentation
bin111000000101011011…
…0000000011101100000
3102111212202000110010110
41300022312000131200
53433130344422422
6131155124531320
711462432504556
oct1601266003540
9374782013113
10120441014112
11470958a35a1
121b413550b40
13b485688c73
145b87b45bd6
1531eda6b60c
hex1c0ad80760

120441014112 has 96 divisors (see below), whose sum is σ = 336029202432. Its totient is φ = 37641611264.

The previous prime is 120441014107. The next prime is 120441014137. The reversal of 120441014112 is 211410144021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288913 + ... + 569519.

It is an arithmetic number, because the mean of its divisors is an integer number (3500304192).

Almost surely, 2120441014112 is an apocalyptic number.

120441014112 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 120441014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168014601216).

120441014112 is an abundant number, since it is smaller than the sum of its proper divisors (215588188320).

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

120441014112 is a wasteful number, since it uses less digits than its factorization.

120441014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280900 (or 280892 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 120441014112 its reverse (211410144021), we get a palindrome (331851158133).

The spelling of 120441014112 in words is "one hundred twenty billion, four hundred forty-one million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 263 272 408 526 544 789 816 1052 1578 1632 2104 3156 4208 4471 6312 8416 8942 12624 13413 17884 25248 26826 35768 53652 71536 107304 143072 214608 280607 429216 561214 841821 1122428 1683642 2244856 3367284 4489712 4770319 6734568 8979424 9540638 13469136 14310957 19081276 26938272 28621914 38162552 57243828 73799641 76325104 114487656 147599282 152650208 221398923 228975312 295198564 442797846 457950624 590397128 885595692 1180794256 1254593897 1771191384 2361588512 2509187794 3542382768 3763781691 5018375588 7084765536 7527563382 10036751176 15055126764 20073502352 30110253528 40147004704 60220507056 120441014112