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121521240400 = 24527291496567
BaseRepresentation
bin111000100101100111…
…0101111100101010000
3102121200000122122000111
41301023032233211100
53442333414143100
6131454233531104
711531260333420
oct1611316574520
9377600578014
10121521240400
114759a63259a
121b675273a94
13b5c8405511
145c4b3b8480
1532637e86ba
hex1c4b3af950

121521240400 has 120 divisors (see below), whose sum is σ = 345168443520. Its totient is φ = 40227694080.

The previous prime is 121521240353. The next prime is 121521240409. The reversal of 121521240400 is 4042125121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121521240409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667084 + ... + 829483.

It is an arithmetic number, because the mean of its divisors is an integer number (2876403696).

Almost surely, 2121521240400 is an apocalyptic number.

121521240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121521240400 is an abundant number, since it is smaller than the sum of its proper divisors (223647203120).

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

121521240400 is a wasteful number, since it uses less digits than its factorization.

121521240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496621 (or 1496610 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 121521240400 its reverse (4042125121), we get a palindrome (125563365521).

The spelling of 121521240400 in words is "one hundred twenty-one billion, five hundred twenty-one million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 140 145 175 200 203 232 280 290 350 400 406 464 560 580 700 725 812 1015 1160 1400 1450 1624 2030 2320 2800 2900 3248 4060 5075 5800 8120 10150 11600 16240 20300 40600 81200 1496567 2993134 5986268 7482835 10475969 11972536 14965670 20951938 23945072 29931340 37414175 41903876 43400443 52379845 59862680 74828350 83807752 86800886 104759690 119725360 149656700 167615504 173601772 209519380 217002215 261899225 299313400 303803101 347203544 419038760 434004430 523798450 598626800 607606202 694407088 838077520 868008860 1047596900 1085011075 1215212404 1519015505 1736017720 2095193800 2170022150 2430424808 3038031010 3472035440 4190387600 4340044300 4860849616 6076062020 7595077525 8680088600 12152124040 15190155050 17360177200 24304248080 30380310100 60760620200 121521240400