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121061376 = 21432821
BaseRepresentation
bin1110011011101…
…00000000000000
322102210112222200
413031310000000
5221442431001
620002433200
73000001422
oct715640000
9272715880
10121061376
1162377227
1234662800
131c109067
1412114812
15a965086
hex7374000

121061376 has 90 divisors (see below), whose sum is σ = 350148162. Its totient is φ = 40304640.

The previous prime is 121061371. The next prime is 121061377. The reversal of 121061376 is 673160121.

It can be written as a sum of positive squares in only one way, i.e., 92160000 + 28901376 = 9600^2 + 5376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121061371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147046 + ... + 147866.

Almost surely, 2121061376 is an apocalyptic number.

121061376 is a gapful number since it is divisible by the number (16) 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 121061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175074081).

121061376 is an abundant number, since it is smaller than the sum of its proper divisors (229086786).

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

121061376 is an frugal number, since it uses more digits than its factorization.

121061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 121061376 is about 11002.7894644949. The cubic root of 121061376 is about 494.6923585810.

The spelling of 121061376 in words is "one hundred twenty-one million, sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 821 1024 1152 1536 1642 2048 2304 2463 3072 3284 4096 4608 4926 6144 6568 7389 8192 9216 9852 12288 13136 14778 16384 18432 19704 24576 26272 29556 36864 39408 49152 52544 59112 73728 78816 105088 118224 147456 157632 210176 236448 315264 420352 472896 630528 840704 945792 1261056 1681408 1891584 2522112 3362816 3783168 5044224 6725632 7566336 10088448 13451264 15132672 20176896 30265344 40353792 60530688 121061376