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121445620 = 2251729109113
BaseRepresentation
bin1110011110100…
…01110011110100
322110112002001221
413033101303310
5222042224440
620015000124
73003161602
oct717216364
9273462057
10121445620
116260998a
1234809044
131c211c1a
14121b4872
15a9ddd4a
hex73d1cf4

121445620 has 96 divisors (see below), whose sum is σ = 284407200. Its totient is φ = 43352064.

The previous prime is 121445617. The next prime is 121445629. The reversal of 121445620 is 26544121.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 30891364 + 90554256 = 5558^2 + 9516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121445629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074684 + ... + 1074796.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 2121445620 is an apocalyptic number.

121445620 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 121445620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142203600).

121445620 is an abundant number, since it is smaller than the sum of its proper divisors (162961580).

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

121445620 is a wasteful number, since it uses less digits than its factorization.

121445620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 121445620 is about 11020.2368395602. The cubic root of 121445620 is about 495.2151837955.

Adding to 121445620 its reverse (26544121), we get a palindrome (147989741).

The spelling of 121445620 in words is "one hundred twenty-one million, four hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 109 113 116 145 170 218 226 290 340 436 452 493 545 565 580 986 1090 1130 1853 1921 1972 2180 2260 2465 3161 3277 3706 3842 4930 6322 6554 7412 7684 9265 9605 9860 12317 12644 13108 15805 16385 18530 19210 24634 31610 32770 37060 38420 49268 53737 55709 61585 63220 65540 107474 111418 123170 209389 214948 222836 246340 268685 278545 357193 418778 537370 557090 714386 837556 1046945 1074740 1114180 1428772 1785965 2093890 3571930 4187780 6072281 7143860 12144562 24289124 30361405 60722810 121445620