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121100227192 = 237217219127443
BaseRepresentation
bin111000011001000100…
…0101101001001111000
3102120120200102221110201
41300302020231021320
53441003124232232
6131344354051544
711514655642600
oct1606210551170
9376520387421
10121100227192
11473a3a1509a
121b578279bb4
13b55c117589
145c0b503c00
15323b883be7
hex1c3222d278

121100227192 has 288 divisors, whose sum is σ = 298350950400. Its totient is φ = 45808229376.

The previous prime is 121100227189. The next prime is 121100227253. The reversal of 121100227192 is 291722001121.

121100227192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121100227192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273363723 + ... + 273364165.

It is an arithmetic number, because the mean of its divisors is an integer number (1035940800).

Almost surely, 2121100227192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121100227192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149175475200).

121100227192 is an abundant number, since it is smaller than the sum of its proper divisors (177250723208).

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

121100227192 is a wasteful number, since it uses less digits than its factorization.

121100227192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 121100227192 in words is "one hundred twenty-one billion, one hundred million, two hundred twenty-seven thousand, one hundred ninety-two".