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1201422044032 = 27719737917959
BaseRepresentation
bin10001011110111010010…
…101011000101110000000
311020212002011112102122221
4101132322111120232000
5124141003020402112
62315531535540424
7152541233610010
oct21367225305600
94225064472587
101201422044032
1142357a4718a1
12174a1598a714
13893a80b4092
1442213337c40
15213b9986e07
hex117ba558b80

1201422044032 has 128 divisors (see below), whose sum is σ = 2756673216000. Its totient is φ = 510901364736.

The previous prime is 1201422043981. The next prime is 1201422044083. The reversal of 1201422044032 is 2304402241021.

It is an interprime number because it is at equal distance from previous prime (1201422043981) and next prime (1201422044083).

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

It is a junction number, because it is equal to n+sod(n) for n = 1201422043988 and 1201422044006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 66889069 + ... + 66907027.

It is an arithmetic number, because the mean of its divisors is an integer number (21536509500).

Almost surely, 21201422044032 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 1201422044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378336608000).

1201422044032 is an abundant number, since it is smaller than the sum of its proper divisors (1555251171968).

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

1201422044032 is a wasteful number, since it uses less digits than its factorization.

1201422044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1201422044032 its reverse (2304402241021), we get a palindrome (3505824285053).

The spelling of 1201422044032 in words is "one trillion, two hundred one billion, four hundred twenty-two million, forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 379 394 448 758 788 896 1379 1516 1576 2653 2758 3032 3152 5306 5516 6064 6304 10612 11032 12128 12608 17959 21224 22064 24256 25216 35918 42448 44128 48512 71836 74663 84896 88256 125713 143672 149326 169792 176512 251426 287344 298652 339584 502852 522641 574688 597304 1005704 1045282 1149376 1194608 2011408 2090564 2298752 2389216 3537923 4022816 4181128 4778432 6806461 7075846 8045632 8362256 9556864 13612922 14151692 16091264 16724512 24765461 27225844 28303384 33449024 47645227 49530922 54451688 56606768 66898048 95290454 99061844 108903376 113213536 190580908 198123688 217806752 226427072 381161816 396247376 435613504 452854144 762323632 792494752 871227008 1340872817 1524647264 1584989504 2681745634 3049294528 3169979008 5363491268 6098589056 9386109719 10726982536 18772219438 21453965072 37544438876 42907930144 75088877752 85815860288 150177755504 171631720576 300355511008 600711022016 1201422044032