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2120321122120 = 2354112171062349
BaseRepresentation
bin11110110110101100111…
…111001011111101001000
321111200220211021011012101
4132312230333023331020
5234214404201401440
64302021224123144
7306121351111405
oct36665477137510
97450824234171
102120321122120
1174824aaa6793
122a2b233064b4
13124c3a133616
14748a47072ac
153a24b26569a
hex1edacfcbf48

2120321122120 has 64 divisors (see below), whose sum is σ = 4891101894000. Its totient is φ = 826761707520.

The previous prime is 2120321122111. The next prime is 2120321122159. The reversal of 2120321122120 is 212211230212.

It can be written as a sum of positive squares in 8 ways, for example, as 449185636 + 2119871936484 = 21194^2 + 1455978^2 .

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, 1464706 + ... + 2527054.

Almost surely, 22120321122120 is an apocalyptic number.

2120321122120 is a gapful number since it is divisible by the number (20) 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 2120321122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445550947000).

2120321122120 is an abundant number, since it is smaller than the sum of its proper divisors (2770780771880).

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

2120321122120 is a wasteful number, since it uses less digits than its factorization.

2120321122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063618 (or 1063614 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2120321122120 its reverse (212211230212), we get a palindrome (2332532352332).

The spelling of 2120321122120 in words is "two trillion, one hundred twenty billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1217 1640 2434 4868 6085 9736 12170 24340 48680 49897 99794 199588 249485 399176 498970 997940 1062349 1995880 2124698 4249396 5311745 8498792 10623490 21246980 42493960 43556309 87112618 174225236 217781545 348450472 435563090 871126180 1292878733 1742252360 2585757466 5171514932 6464393665 10343029864 12928787330 25857574660 51715149320 53008028053 106016056106 212032112212 265040140265 424064224424 530080280530 1060160561060 2120321122120