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121202112 = 2631771523
BaseRepresentation
bin1110011100101…
…10010111000000
322110001201001010
413032112113000
5222011431422
620005440520
73001125633
oct716262700
9273051033
10121202112
1162462a39
1234710140
131c158135
141214dc1a
15a991b0c
hex73965c0

121202112 has 112 divisors (see below), whose sum is σ = 344984832. Its totient is φ = 37416960.

The previous prime is 121202101. The next prime is 121202131. The reversal of 121202112 is 211202121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231483 + ... + 232005.

Almost surely, 2121202112 is an apocalyptic number.

121202112 is a gapful number since it is divisible by the number (12) 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 121202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172492416).

121202112 is an abundant number, since it is smaller than the sum of its proper divisors (223782720).

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

121202112 is a wasteful number, since it uses less digits than its factorization.

121202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 121202112 is about 11009.1830759598. The cubic root of 121202112 is about 494.8839805635.

Adding to 121202112 its reverse (211202121), we get a palindrome (332404233).

Subtracting 121202112 from its reverse (211202121), we obtain a palindrome (90000009).

The spelling of 121202112 in words is "one hundred twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 96 102 136 142 192 204 213 272 284 408 426 523 544 568 816 852 1046 1088 1136 1207 1569 1632 1704 2092 2272 2414 3138 3264 3408 3621 4184 4544 4828 6276 6816 7242 8368 8891 9656 12552 13632 14484 16736 17782 19312 25104 26673 28968 33472 35564 37133 38624 50208 53346 57936 71128 74266 77248 100416 106692 111399 115872 142256 148532 213384 222798 231744 284512 297064 426768 445596 569024 594128 631261 853536 891192 1188256 1262522 1707072 1782384 1893783 2376512 2525044 3564768 3787566 5050088 7129536 7575132 10100176 15150264 20200352 30300528 40400704 60601056 121202112