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121120121300 = 22524140997207
BaseRepresentation
bin111000011001101010…
…0100110000111010100
3102120122001212200001112
41300303110212013110
53441023222340200
6131350344314152
711515320021113
oct1606324460724
9376561780045
10121120121300
1147404172902
121b582a72958
13b563291739
145c10001c7a
15323d4b3535
hex1c335261d4

121120121300 has 72 divisors (see below), whose sum is σ = 269344219200. Its totient is φ = 47248300800.

The previous prime is 121120121263. The next prime is 121120121329. The reversal of 121120121300 is 3121021121.

121120121300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16802297 + ... + 16809503.

Almost surely, 2121120121300 is an apocalyptic number.

121120121300 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 121120121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134672109600).

121120121300 is an abundant number, since it is smaller than the sum of its proper divisors (148224097900).

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

121120121300 is a wasteful number, since it uses less digits than its factorization.

121120121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11354 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 121120121300 its reverse (3121021121), we get a palindrome (124241142421).

The spelling of 121120121300 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4099 4100 7207 8198 14414 16396 20495 28828 36035 40990 72070 81980 102475 144140 168059 180175 204950 295487 336118 360350 409900 590974 672236 720700 840295 1181948 1477435 1680590 2954870 3361180 4201475 5909740 7387175 8402950 14774350 16805900 29541493 29548700 59082986 118165972 147707465 295414930 590829860 738537325 1211201213 1477074650 2422402426 2954149300 4844804852 6056006065 12112012130 24224024260 30280030325 60560060650 121120121300