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121051392 = 2837112389
BaseRepresentation
bin1110011011100…
…01100100000000
322102210001021220
413031301210000
5221442121032
620002315040
72666630340
oct715614400
9272701256
10121051392
116236a780
1234658a80
131c104657
1412110d20
15a96212c
hex7371900

121051392 has 288 divisors, whose sum is σ = 423843840. Its totient is φ = 29736960.

The previous prime is 121051391. The next prime is 121051397. The reversal of 121051392 is 293150121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121051391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360084 + ... + 1360172.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2121051392 is an apocalyptic number.

121051392 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 121051392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

121051392 is an abundant number, since it is smaller than the sum of its proper divisors (302792448).

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

121051392 is a wasteful number, since it uses less digits than its factorization.

121051392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 121051392 is about 11002.3357520119. The cubic root of 121051392 is about 494.6787590211.

It can be divided in two parts, 12 and 1051392, that multiplied together give a square (12616704 = 35522).

The spelling of 121051392 in words is "one hundred twenty-one million, fifty-one thousand, three hundred ninety-two".