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1201442223432 = 2331143223947269
BaseRepresentation
bin10001011110111011100…
…010010111010101001000
311020212010120111122121010
4101132323202113111020
5124141023202122212
62315533540243520
7152541600254043
oct21367342272510
94225116448533
101201442223432
1142358a8a4990
12174a206a05a0
13893ac32b059
1442215cabc5a
15213bb62103c
hex117bb897548

1201442223432 has 128 divisors (see below), whose sum is σ = 3354430464000. Its totient is φ = 355440234240.

The previous prime is 1201442223431. The next prime is 1201442223463. The reversal of 1201442223432 is 2343222441021.

It is a self number, because there is not a number n which added to its sum of digits gives 1201442223432.

It is not an unprimeable number, because it can be changed into a prime (1201442223431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25393494 + ... + 25440762.

It is an arithmetic number, because the mean of its divisors is an integer number (26206488000).

Almost surely, 21201442223432 is an apocalyptic number.

1201442223432 is a gapful number since it is divisible by the number (12) 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 1201442223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677215232000).

1201442223432 is an abundant number, since it is smaller than the sum of its proper divisors (2152988240568).

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

1201442223432 is a wasteful number, since it uses less digits than its factorization.

1201442223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49571 (or 49567 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1201442223432 its reverse (2343222441021), we get a palindrome (3544664664453).

The spelling of 1201442223432 in words is "one trillion, two hundred one billion, four hundred forty-two million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2239 2838 3784 4478 5676 6717 8956 11352 13434 17912 24629 26868 47269 49258 53736 73887 94538 96277 98516 141807 147774 189076 192554 197032 283614 288831 295548 378152 385108 519959 567228 577662 591096 770216 1039918 1059047 1134456 1155324 1559877 2032567 2079836 2118094 2310648 3119754 3177141 4065134 4159672 4236188 6097701 6239508 6354282 8130268 8472376 12195402 12479016 12708564 16260536 22358237 24390804 25417128 44716474 48781608 67074711 89432948 105835291 134149422 178865896 211670582 268298844 317505873 423341164 536597688 635011746 846682328 1164188201 1270023492 2328376402 2540046984 3492564603 4550917513 4656752804 6985129206 9101835026 9313505608 13652752539 13970258412 18203670052 27305505078 27940516824 36407340104 50060092643 54611010156 100120185286 109222020312 150180277929 200240370572 300360555858 400480741144 600721111716 1201442223432