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121327020 = 223251913529
BaseRepresentation
bin1110011101101…
…00110110101100
322110022001101100
413032310312230
5222024431040
620012243100
73002156043
oct716646654
9273261340
10121327020
1162538871
1234770490
131c19cc49
141218355a
15a9b8b30
hex73b4dac

121327020 has 72 divisors (see below), whose sum is σ = 370056960. Its totient is φ = 32175360.

The previous prime is 121327013. The next prime is 121327021. The reversal of 121327020 is 20723121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121326984 and 121327002.

It is not an unprimeable number, because it can be changed into a prime (121327021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32616 + ... + 36144.

It is an arithmetic number, because the mean of its divisors is an integer number (5139680).

Almost surely, 2121327020 is an apocalyptic number.

121327020 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 121327020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185028480).

121327020 is an abundant number, since it is smaller than the sum of its proper divisors (248729940).

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

121327020 is a wasteful number, since it uses less digits than its factorization.

121327020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 121327020 is about 11014.8545156075. The cubic root of 121327020 is about 495.0539273968.

The spelling of 121327020 in words is "one hundred twenty-one million, three hundred twenty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3529 3820 5730 6876 7058 8595 10587 11460 14116 17190 17645 21174 31761 34380 35290 42348 52935 63522 70580 105870 127044 158805 211740 317610 635220 674039 1348078 2022117 2696156 3370195 4044234 6066351 6740390 8088468 10110585 12132702 13480780 20221170 24265404 30331755 40442340 60663510 121327020