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120424311402112 = 2737647181121701
BaseRepresentation
bin11011011000011001111000…
…010011011010111010000000
3120210101110012022112121000201
4123120121320103122322000
5111241012442204331422
61104042055342454544
734236240461454424
oct3330317023327200
9523343168477021
10120424311402112
1135409733370873
121160b056294454
135226c6b724c43
1421a47d3d6cb84
15ddc7a5552727
hex6d86784dae80

120424311402112 has 128 divisors (see below), whose sum is σ = 246920265578880. Its totient is φ = 58459258368000.

The previous prime is 120424311402097. The next prime is 120424311402257. The reversal of 120424311402112 is 211204113424021.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5549240862 + ... + 5549262562.

It is an arithmetic number, because the mean of its divisors is an integer number (1929064574835).

Almost surely, 2120424311402112 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 120424311402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123460132789440).

120424311402112 is an abundant number, since it is smaller than the sum of its proper divisors (126495954176768).

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

120424311402112 is a wasteful number, since it uses less digits than its factorization.

120424311402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24210 (or 24198 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 120424311402112 its reverse (211204113424021), we get a palindrome (331628424826133).

The spelling of 120424311402112 in words is "one hundred twenty trillion, four hundred twenty-four billion, three hundred eleven million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 647 1184 1294 1811 2368 2588 3622 4736 5176 7244 10352 14488 20704 21701 23939 28976 41408 43402 47878 57952 67007 82816 86804 95756 115904 134014 173608 191512 231808 268028 347216 383024 536056 694432 766048 802937 1072112 1171717 1388864 1532096 1605874 2144224 2343434 2777728 3064192 3211748 4288448 4686868 6423496 8576896 9373736 12846992 14040547 18747472 25693984 28081094 37494944 39300511 43353529 51387968 56162188 74989888 78601022 86707058 102775936 112324376 149979776 157202044 173414116 224648752 314404088 346828232 449297504 519500239 628808176 693656464 898595008 1039000478 1257616352 1387312928 1454118907 1797190016 2078000956 2515232704 2774625856 2908237814 4156001912 5030465408 5549251712 5816475628 8312003824 11632951256 16624007648 23265902512 25427430617 33248015296 46531805024 50854861234 66496030592 93063610048 101709722468 186127220096 203419444936 406838889872 813677779744 940814932829 1627355559488 1881629865658 3254711118976 3763259731316 7526519462632 15053038925264 30106077850528 60212155701056 120424311402112