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121894848 = 2633233067
BaseRepresentation
bin1110100001111…
…11011111000000
322111100220022000
413100333133000
5222201113343
620032344000
73010042365
oct720773700
9274326260
10121894848
1162896449
12349a5000
131c33b53a
141229046c
15aa7bed3
hex743f7c0

121894848 has 112 divisors (see below), whose sum is σ = 374050560. Its totient is φ = 38852352.

The previous prime is 121894841. The next prime is 121894853. The reversal of 121894848 is 848498121.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121894841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38211 + ... + 41277.

Almost surely, 2121894848 is an apocalyptic number.

121894848 is a gapful number since it is divisible by the number (18) 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 121894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187025280).

121894848 is an abundant number, since it is smaller than the sum of its proper divisors (252155712).

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

121894848 is a wasteful number, since it uses less digits than its factorization.

121894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3095 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 121894848 is about 11040.5999836965. The cubic root of 121894848 is about 495.8250336738.

The spelling of 121894848 in words is "one hundred twenty-one million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3067 3312 4416 4968 6134 6624 9201 9936 12268 13248 18402 19872 24536 27603 36804 39744 49072 55206 70541 73608 82809 98144 110412 141082 147216 165618 196288 211623 220824 282164 294432 331236 423246 441648 564328 588864 634869 662472 846492 883296 1128656 1269738 1324944 1692984 1766592 1904607 2257312 2539476 2649888 3385968 3809214 4514624 5078952 5299776 6771936 7618428 10157904 13543872 15236856 20315808 30473712 40631616 60947424 121894848