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121231132120 = 23577337315901
BaseRepresentation
bin111000011100111110…
…0000100010111011000
3102120220210202121021101
41300321330010113120
53441240132211440
6131405351521144
711521135422610
oct1607174042730
9376823677241
10121231132120
11474608a498a
121b5b40891b4
13b58028bc07
145c20a5ba40
1532480e069a
hex1c39f045d8

121231132120 has 128 divisors (see below), whose sum is σ = 316874701440. Its totient is φ = 40883097600.

The previous prime is 121231132117. The next prime is 121231132123. The reversal of 121231132120 is 21231132121.

It is an interprime number because it is at equal distance from previous prime (121231132117) and next prime (121231132123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121231132123) 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, 7616170 + ... + 7632070.

It is an arithmetic number, because the mean of its divisors is an integer number (2475583605).

Almost surely, 2121231132120 is an apocalyptic number.

121231132120 is a gapful number since it is divisible by the number (10) 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 121231132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158437350720).

121231132120 is an abundant number, since it is smaller than the sum of its proper divisors (195643569320).

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

121231132120 is a wasteful number, since it uses less digits than its factorization.

121231132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16365 (or 16361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121231132120 its reverse (21231132121), we get a palindrome (142462264241).

Subtracting from 121231132120 its reverse (21231132121), we obtain a palindrome (99999999999).

The spelling of 121231132120 in words is "one hundred twenty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 373 511 584 730 746 1022 1460 1492 1865 2044 2555 2611 2920 2984 3730 4088 5110 5222 7460 10220 10444 13055 14920 15901 20440 20888 26110 27229 31802 52220 54458 63604 79505 104440 108916 111307 127208 136145 159010 190603 217832 222614 272290 318020 381206 445228 544580 556535 636040 762412 890456 953015 1089160 1113070 1160773 1524824 1906030 2226140 2321546 3812060 4452280 4643092 5803865 5931073 7624120 8125411 9286184 11607730 11862146 16250822 23215460 23724292 29655365 32501644 40627055 41517511 46430920 47448584 59310730 65003288 81254110 83035022 118621460 162508220 166070044 207587555 237242920 325016440 332140088 415175110 432968329 830350220 865936658 1660700440 1731873316 2164841645 3030778303 3463746632 4329683290 6061556606 8659366580 12123113212 15153891515 17318733160 24246226424 30307783030 60615566060 121231132120