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121350102432 = 25313304931891
BaseRepresentation
bin111000100000100000…
…1111001110110100000
3102121020002121220212020
41301001001321312200
53442011111234212
6131425241501440
711524111565046
oct1610101716640
9377202556766
10121350102432
1147511a73059
121b627aa1880
13b59bb15250
145c3278a396
153253790d8c
hex1c41079da0

121350102432 has 96 divisors (see below), whose sum is σ = 343170676800. Its totient is φ = 37325076480.

The previous prime is 121350102421. The next prime is 121350102437. The reversal of 121350102432 is 234201053121.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (121350102437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3789207 + ... + 3821097.

It is an arithmetic number, because the mean of its divisors is an integer number (3574694550).

Almost surely, 2121350102432 is an apocalyptic number.

121350102432 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 121350102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171585338400).

121350102432 is an abundant number, since it is smaller than the sum of its proper divisors (221820574368).

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

121350102432 is a wasteful number, since it uses less digits than its factorization.

121350102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34966 (or 34958 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 121350102432 its reverse (234201053121), we get a palindrome (355551155553).

The spelling of 121350102432 in words is "one hundred twenty-one billion, three hundred fifty million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3049 6098 9147 12196 18294 24392 31891 36588 39637 48784 63782 73176 79274 95673 97568 118911 127564 146352 158548 191346 237822 255128 292704 317096 382692 414583 475644 510256 634192 765384 829166 951288 1020512 1243749 1268384 1530768 1658332 1902576 2487498 3061536 3316664 3805152 4974996 6633328 9949992 13266656 19899984 39799968 97235659 194471318 291706977 388942636 583413954 777885272 1166827908 1264063567 1555770544 2333655816 2528127134 3111541088 3792190701 4667311632 5056254268 7584381402 9334623264 10112508536 15168762804 20225017072 30337525608 40450034144 60675051216 121350102432