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121513311200 = 2552473231737
BaseRepresentation
bin111000100101011000…
…0011111101111100000
3102121122110201210012102
41301022300133233200
53442324401424300
6131453351545532
711531133050261
oct1611260375740
9377573653172
10121513311200
1147596107236
121b67268b2a8
13b5c688a398
145c4a312968
153262c7e0d5
hex1c4ac1fbe0

121513311200 has 72 divisors (see below), whose sum is σ = 302956047072. Its totient is φ = 47571153920.

The previous prime is 121513311193. The next prime is 121513311203. The reversal of 121513311200 is 2113315121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121513311203) 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 11 ways as a sum of consecutive naturals, for example, 1578269 + ... + 1653468.

It is an arithmetic number, because the mean of its divisors is an integer number (4207722876).

Almost surely, 2121513311200 is an apocalyptic number.

121513311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121513311200 is an abundant number, since it is smaller than the sum of its proper divisors (181442735872).

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

121513311200 is a wasteful number, since it uses less digits than its factorization.

121513311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231804 (or 3231791 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 121513311200 its reverse (2113315121), we get a palindrome (123626626321).

The spelling of 121513311200 in words is "one hundred twenty-one billion, five hundred thirteen million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 3231737 6463474 12926948 16158685 25853896 32317370 51707792 64634740 80793425 103415584 129269480 151891639 161586850 258538960 303783278 323173700 517077920 607566556 646347400 759458195 1215133112 1292694800 1518916390 2430266224 2585389600 3037832780 3797290975 4860532448 6075665560 7594581950 12151331120 15189163900 24302662240 30378327800 60756655600 121513311200