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121311302221300 = 22524129588122493
BaseRepresentation
bin11011100101010011111101…
…000100110111110111110100
3120220112020200020020211002111
4123211103331010313313310
5111400031021332040200
61110001350510220404
734360311105152212
oct3345237504676764
9526466606224074
10121311302221300
113572091a585564
1211732b397b4704
13528c7b6c46609
1421d56d96b9cb2
15e058ba9170ba
hex6e54fd137df4

121311302221300 has 36 divisors (see below), whose sum is σ = 269666148410316. Its totient is φ = 47340995987200.

The previous prime is 121311302221297. The next prime is 121311302221337. The reversal of 121311302221300 is 3122203113121.

It can be written as a sum of positive squares in 6 ways, for example, as 24184009340176 + 97127292881124 = 4917724^2 + 9855318^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14794057147 + ... + 14794065346.

It is an arithmetic number, because the mean of its divisors is an integer number (7490726344731).

Almost surely, 2121311302221300 is an apocalyptic number.

121311302221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121311302221300 is an abundant number, since it is smaller than the sum of its proper divisors (148354846189016).

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

121311302221300 is a wasteful number, since it uses less digits than its factorization.

121311302221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29588122548 (or 29588122541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121311302221300 its reverse (3122203113121), we get a palindrome (124433505334421).

The spelling of 121311302221300 in words is "one hundred twenty-one trillion, three hundred eleven billion, three hundred two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 29588122493 59176244986 118352489972 147940612465 295881224930 591762449860 739703062325 1213113022213 1479406124650 2426226044426 2958812249300 4852452088852 6065565111065 12131130222130 24262260444260 30327825555325 60655651110650 121311302221300