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120032121312 = 2532929448631
BaseRepresentation
bin110111111001001111…
…0001101000111100000
3102110211020121112122200
41233302132031013200
53431311210340222
6131050400533200
711446336124355
oct1576236150740
9373736545580
10120032121312
11469a6004364
121b31a621200
13b41ba52a6c
145b4970862c
1531c7beceac
hex1bf278d1e0

120032121312 has 72 divisors (see below), whose sum is σ = 341709535440. Its totient is φ = 39967549440.

The previous prime is 120032121301. The next prime is 120032121329. The reversal of 120032121312 is 213121230021.

120032121312 is a `hidden beast` number, since 1 + 200 + 32 + 121 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43237 + ... + 491867.

It is an arithmetic number, because the mean of its divisors is an integer number (4745965770).

Almost surely, 2120032121312 is an apocalyptic number.

120032121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120032121312 is an abundant number, since it is smaller than the sum of its proper divisors (221677414128).

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

120032121312 is a wasteful number, since it uses less digits than its factorization.

120032121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449576 (or 449565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120032121312 its reverse (213121230021), we get a palindrome (333153351333).

The spelling of 120032121312 in words is "one hundred twenty billion, thirty-two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 929 1858 2787 3716 5574 7432 8361 11148 14864 16722 22296 29728 33444 44592 66888 89184 133776 267552 448631 897262 1345893 1794524 2691786 3589048 4037679 5383572 7178096 8075358 10767144 14356192 16150716 21534288 32301432 43068576 64602864 129205728 416778199 833556398 1250334597 1667112796 2500669194 3334225592 3751003791 5001338388 6668451184 7502007582 10002676776 13336902368 15004015164 20005353552 30008030328 40010707104 60016060656 120032121312