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120021334344 = 2332197242953
BaseRepresentation
bin110111111000111010…
…1000011100101001000
3102110210111022111201100
41233301311003211020
53431300430144334
6131045333421400
711446145336442
oct1576165034510
9373714274640
10120021334344
114699aa06a0a
121b316a9a860
13b419746c42
145b480db492
1531c6cbbc99
hex1bf1d43948

120021334344 has 72 divisors (see below), whose sum is σ = 326723802210. Its totient is φ = 39803102976.

The previous prime is 120021334337. The next prime is 120021334351. The reversal of 120021334344 is 443433120021.

120021334344 is a `hidden beast` number, since 1 + 200 + 21 + 3 + 3 + 434 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (120021334337) and next prime (120021334351).

It can be written as a sum of positive squares in 3 ways, for example, as 119958322500 + 63011844 = 346350^2 + 7938^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2772772 + ... + 2815724.

Almost surely, 2120021334344 is an apocalyptic number.

It is an amenable number.

120021334344 is an abundant number, since it is smaller than the sum of its proper divisors (206702467866).

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

120021334344 is a wasteful number, since it uses less digits than its factorization.

120021334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43359 (or 43155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 120021334344 its reverse (443433120021), we get a palindrome (563454454365).

The spelling of 120021334344 in words is "one hundred twenty billion, twenty-one million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 38809 42953 77618 85906 116427 128859 155236 171812 232854 257718 310472 343624 349281 386577 465708 515436 698562 773154 931416 1030872 1397124 1546308 2794248 3092616 8461741 16923482 25385223 33846964 50770446 67693928 76155669 101540892 152311338 203081784 304622676 609245352 1666962977 3333925954 5000888931 6667851908 10001777862 13335703816 15002666793 20003555724 30005333586 40007111448 60010667172 120021334344