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121444428 = 223719471619
BaseRepresentation
bin1110011110100…
…01100001001100
322110112000102210
413033101201030
5222042210203
620014550420
73003155250
oct717214114
9273460383
10121444428
1162608aa6
1234808410
131c211511
14121b4260
15a9dd803
hex73d184c

121444428 has 96 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 32152896.

The previous prime is 121444423. The next prime is 121444429. The reversal of 121444428 is 824444121.

It is a junction number, because it is equal to n+sod(n) for n = 121444395 and 121444404.

It is not an unprimeable number, because it can be changed into a prime (121444423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74203 + ... + 75821.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2121444428 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 121444428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

121444428 is an abundant number, since it is smaller than the sum of its proper divisors (226920372).

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

121444428 is a wasteful number, since it uses less digits than its factorization.

121444428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1697 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 121444428 is about 11020.1827571053. The cubic root of 121444428 is about 495.2135635959.

Adding to 121444428 its reverse (824444121), we get a palindrome (945888549).

The spelling of 121444428 in words is "one hundred twenty-one million, four hundred forty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 84 94 114 133 141 188 228 266 282 329 399 532 564 658 798 893 987 1316 1596 1619 1786 1974 2679 3238 3572 3948 4857 5358 6251 6476 9714 10716 11333 12502 18753 19428 22666 25004 30761 33999 37506 45332 61522 67998 75012 76093 92283 123044 135996 152186 184566 215327 228279 304372 369132 430654 456558 532651 645981 861308 913116 1065302 1291962 1445767 1597953 2130604 2583924 2891534 3195906 4337301 5783068 6391812 8674602 10120369 17349204 20240738 30361107 40481476 60722214 121444428