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121210100000 = 2555111011091
BaseRepresentation
bin111000011100010101…
…1110101100100100000
3102120212100012001121222
41300320223311210200
53441214241200000
6131403321034212
711520461564513
oct1607053654440
9376770161558
10121210100000
114744aa3a170
121b5a9025968
13b578b06a82
145c1bd44d7a
153246338a85
hex1c38af5920

121210100000 has 288 divisors, whose sum is σ = 328909823424. Its totient is φ = 43600000000.

The previous prime is 121210099999. The next prime is 121210100029. The reversal of 121210100000 is 1012121.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 47 ways as a sum of consecutive naturals, for example, 111099455 + ... + 111100545.

It is an arithmetic number, because the mean of its divisors is an integer number (1142047998).

Almost surely, 2121210100000 is an apocalyptic number.

121210100000 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 121210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164454911712).

121210100000 is an abundant number, since it is smaller than the sum of its proper divisors (207699723424).

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

121210100000 is a wasteful number, since it uses less digits than its factorization.

121210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121210100000 its reverse (1012121), we get a palindrome (121211112121).

The spelling of 121210100000 in words is "one hundred twenty-one billion, two hundred ten million, one hundred thousand".