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121311120132312 = 233112931511136617
BaseRepresentation
bin11011100101010011110010…
…001110010000100011011000
3120220112020012112121201221220
4123211103302032100203120
5111400030133223213222
61110001320443332040
734360303434343425
oct3345236216204330
9526466175551856
10121311120132312
11357208368163a0
1211732aa8821020
13528c7882c0956
1421d56bd43ad4c
15e058a9949b5c
hex6e54f23908d8

121311120132312 has 128 divisors (see below), whose sum is σ = 353297630361600. Its totient is φ = 34348380595200.

The previous prime is 121311120132299. The next prime is 121311120132313. The reversal of 121311120132312 is 213231021113121.

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 (121311120132313) 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, 255330973 + ... + 255805644.

It is an arithmetic number, because the mean of its divisors is an integer number (2760137737200).

Almost surely, 2121311120132312 is an apocalyptic number.

121311120132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121311120132312 is an abundant number, since it is smaller than the sum of its proper divisors (231986510229288).

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

121311120132312 is a wasteful number, since it uses less digits than its factorization.

121311120132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511136697 (or 511136693 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121311120132312 its reverse (213231021113121), we get a palindrome (334542141245433).

The spelling of 121311120132312 in words is "one hundred twenty-one trillion, three hundred eleven billion, one hundred twenty million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 31 33 44 58 62 66 87 88 93 116 124 132 174 186 232 248 264 319 341 348 372 638 682 696 744 899 957 1023 1276 1364 1798 1914 2046 2552 2697 2728 3596 3828 4092 5394 7192 7656 8184 9889 10788 19778 21576 29667 39556 59334 79112 118668 237336 511136617 1022273234 1533409851 2044546468 3066819702 4089092936 5622502787 6133639404 11245005574 12267278808 14822961893 15845235127 16867508361 22490011148 29645923786 31690470254 33735016722 44468885679 44980022296 47535705381 59291847572 63380940508 67470033444 88937771358 95071410762 118583695144 126761881016 134940066888 163052580823 174297586397 177875542716 190142821524 326105161646 348595172794 355751085432 380285643048 459511818683 489157742469 522892759191 652210323292 697190345588 919023637366 978315484938 1045785518382 1304420646584 1378535456049 1394380691176 1838047274732 1956630969876 2091571036764 2757070912098 3676094549464 3913261939752 4183142073528 5054630005513 5514141824196 10109260011026 11028283648392 15163890016539 20218520022052 30327780033078 40437040044104 60655560066156 121311120132312