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121012056 = 2335115659
BaseRepresentation
bin1110011011001…
…11111101011000
322102201001100000
413031213331120
5221434341211
620001413000
72666404554
oct715477530
9272631300
10121012056
1162343170
123463a160
131c0bc789
1412100864
15a955656
hex7367f58

121012056 has 96 divisors (see below), whose sum is σ = 370843200. Its totient is φ = 36663840.

The previous prime is 121012051. The next prime is 121012063. The reversal of 121012056 is 650210121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18555 + ... + 24213.

It is an arithmetic number, because the mean of its divisors is an integer number (3862950).

Almost surely, 2121012056 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 121012056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185421600).

121012056 is an abundant number, since it is smaller than the sum of its proper divisors (249831144).

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

121012056 is a wasteful number, since it uses less digits than its factorization.

121012056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 121012056 is about 11000.5479863505. The cubic root of 121012056 is about 494.6251707849.

Adding to 121012056 its reverse (650210121), we get a palindrome (771222177).

The spelling of 121012056 in words is "one hundred twenty-one million, twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 5659 7128 10692 11318 16977 21384 22636 33954 45272 50931 62249 67908 101862 124498 135816 152793 186747 203724 248996 305586 373494 407448 458379 497992 560241 611172 746988 916758 1120482 1222344 1375137 1493976 1680723 1833516 2240964 2750274 3361446 3667032 4481928 5042169 5500548 6722892 10084338 11001096 13445784 15126507 20168676 30253014 40337352 60506028 121012056