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121326984 = 2335139449
BaseRepresentation
bin1110011101101…
…00110110001000
322110022001100000
413032310312020
5222024430414
620012243000
73002155662
oct716646610
9273261300
10121326984
1162538839
1234770460
131c19cc1c
1412183532
15a9b8b09
hex73b4d88

121326984 has 96 divisors (see below), whose sum is σ = 343980000. Its totient is φ = 40061952.

The previous prime is 121326983. The next prime is 121327013. The reversal of 121326984 is 489623121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (121326983) 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, 269992 + ... + 270440.

It is an arithmetic number, because the mean of its divisors is an integer number (3583125).

Almost surely, 2121326984 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 121326984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990000).

121326984 is an abundant number, since it is smaller than the sum of its proper divisors (222653016).

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

121326984 is a wasteful number, since it uses less digits than its factorization.

121326984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 121326984 is about 11014.8528814506. The cubic root of 121326984 is about 495.0538784329.

The spelling of 121326984 in words is "one hundred twenty-one million, three hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 243 278 324 417 449 486 556 648 834 898 972 1112 1251 1347 1668 1796 1944 2502 2694 3336 3592 3753 4041 5004 5388 7506 8082 10008 10776 11259 12123 15012 16164 22518 24246 30024 32328 33777 36369 45036 48492 62411 67554 72738 90072 96984 109107 124822 135108 145476 187233 218214 249644 270216 290952 374466 436428 499288 561699 748932 872856 1123398 1497864 1685097 2246796 3370194 4493592 5055291 6740388 10110582 13480776 15165873 20221164 30331746 40442328 60663492 121326984