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121145254300 = 225274120112099
BaseRepresentation
bin111000011010011010…
…0011110000110011100
3102120200211011120001101
41300310310132012130
53441101141114200
6131353043122444
711516043446140
oct1606464360634
9376624146041
10121145254300
1147417379684
121b58b373424
13b568551335
145c134a5220
1532407ca26a
hex1c34d1e19c

121145254300 has 144 divisors (see below), whose sum is σ = 308067782400. Its totient is φ = 40483008000.

The previous prime is 121145254267. The next prime is 121145254319. The reversal of 121145254300 is 3452541121.

It is a super-3 number, since 3×1211452543003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57714651 + ... + 57716749.

It is an arithmetic number, because the mean of its divisors is an integer number (2139359600).

Almost surely, 2121145254300 is an apocalyptic number.

121145254300 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 121145254300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154033891200).

121145254300 is an abundant number, since it is smaller than the sum of its proper divisors (186922528100).

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

121145254300 is a wasteful number, since it uses less digits than its factorization.

121145254300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 121145254300 its reverse (3452541121), we get a palindrome (124597795421).

The spelling of 121145254300 in words is "one hundred twenty-one billion, one hundred forty-five million, two hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2011 2050 2099 2870 4022 4100 4198 5740 7175 8044 8396 10055 10495 14077 14350 14693 20110 20990 28154 28700 29386 40220 41980 50275 52475 56308 58772 70385 73465 82451 86059 100550 104950 140770 146930 164902 172118 201100 209900 281540 293860 329804 344236 351925 367325 412255 430295 577157 602413 703850 734650 824510 860590 1154314 1204826 1407700 1469300 1649020 1721180 2061275 2151475 2308628 2409652 2885785 3012065 4122550 4221089 4302950 5771570 6024130 8245100 8442178 8605900 11543140 12048260 14428925 15060325 16884356 21105445 28857850 29547623 30120650 42210890 57715700 59095246 60241300 84421780 105527225 118190492 147738115 173064649 211054450 295476230 346129298 422108900 590952460 692258596 738690575 865323245 1211452543 1477381150 1730646490 2422905086 2954762300 3461292980 4326616225 4845810172 6057262715 8653232450 12114525430 17306464900 24229050860 30286313575 60572627150 121145254300