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121878738072 = 23337137578191
BaseRepresentation
bin111000110000010001…
…0011111010010011000
3102122120221100101122000
41301200202133102120
53444101424104242
6131553524201000
711543161115610
oct1614042372230
9378527311560
10121878738072
1147763408913
121b754b39160
13b6544b52c0
145c82a77a40
153284db3a4c
hex1c6089f498

121878738072 has 256 divisors, whose sum is σ = 417280819200. Its totient is φ = 32097461760.

The previous prime is 121878738071. The next prime is 121878738083. The reversal of 121878738072 is 270837878121.

121878738072 is a `hidden beast` number, since 1 + 2 + 187 + 87 + 380 + 7 + 2 = 666.

121878738072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121878738071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14875497 + ... + 14883687.

It is an arithmetic number, because the mean of its divisors is an integer number (1630003200).

Almost surely, 2121878738072 is an apocalyptic number.

121878738072 is a gapful number since it is divisible by the number (12) 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 121878738072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208640409600).

121878738072 is an abundant number, since it is smaller than the sum of its proper divisors (295402081128).

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

121878738072 is a wasteful number, since it uses less digits than its factorization.

121878738072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8983 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 121878738072 in words is "one hundred twenty-one billion, eight hundred seventy-eight million, seven hundred thirty-eight thousand, seventy-two".