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1201202412144 = 243710965350227
BaseRepresentation
bin10001011110101101001…
…111100011101001110000
311020211111212020222100120
4101132231033203221300
5124140030304142034
62315454052250240
7152532626015550
oct21365517435160
94224455228316
101201202412144
114234774a0139
12174974310980
1389371745097
14421d20c5160
15213a5550c49
hex117ad3e3a70

1201202412144 has 160 divisors (see below), whose sum is σ = 3584495101440. Its totient is φ = 339524545536.

The previous prime is 1201202412119. The next prime is 1201202412149. The reversal of 1201202412144 is 4412142021021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201202412149) 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, 23890359 + ... + 23940585.

It is an arithmetic number, because the mean of its divisors is an integer number (22403094384).

Almost surely, 21201202412144 is an apocalyptic number.

1201202412144 is a gapful number since it is divisible by the number (14) 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 1201202412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792247550720).

1201202412144 is an abundant number, since it is smaller than the sum of its proper divisors (2383292689296).

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

1201202412144 is a wasteful number, since it uses less digits than its factorization.

1201202412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51007 (or 51001 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1201202412144 its reverse (4412142021021), we get a palindrome (5613344433165).

The spelling of 1201202412144 in words is "one trillion, two hundred one billion, two hundred two million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 653 654 763 872 1306 1308 1526 1744 1959 2289 2612 2616 3052 3918 4571 4578 5224 5232 6104 7836 9142 9156 10448 12208 13713 15672 18284 18312 27426 31344 36568 36624 50227 54852 71177 73136 100454 109704 142354 150681 200908 213531 219408 284708 301362 351589 401816 427062 498239 569416 602724 703178 803632 854124 996478 1054767 1138832 1205448 1406356 1494717 1708248 1992956 2109534 2410896 2812712 2989434 3416496 3985912 4219068 5474743 5625424 5978868 7971824 8438136 10949486 11957736 16424229 16876272 21898972 23915472 32798231 32848458 38323201 43797944 65596462 65696916 76646402 87595888 98394693 114969603 131192924 131393832 153292804 196789386 229587617 229939206 262385848 262787664 306585608 393578772 459175234 459878412 524771696 613171216 688762851 787157544 918350468 919756824 1377525702 1574315088 1836700936 1839513648 2755051404 3575007179 3673401872 5510102808 7150014358 10725021537 11020205616 14300028716 21450043074 25025050253 28600057432 42900086148 50050100506 57200114864 75075150759 85800172296 100100201012 150150301518 171600344592 200200402024 300300603036 400400804048 600601206072 1201202412144