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121112010 = 2345149521
BaseRepresentation
bin1110011100000…
…00010111001010
322102220010110000
413032000113022
5222001041020
620003503430
73000302145
oct716002712
9272803400
10121112010
1162401278
1234687b76
131c126116
141212905c
15a975090
hex73805ca

121112010 has 40 divisors (see below), whose sum is σ = 325658916. Its totient is φ = 32296320.

The previous prime is 121111999. The next prime is 121112011. The reversal of 121112010 is 10211121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114896961 + 6215049 = 10719^2 + 2493^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121111983 and 121112001.

It is not an unprimeable number, because it can be changed into a prime (121112011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73951 + ... + 75570.

Almost surely, 2121112010 is an apocalyptic number.

121112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121112010 is an abundant number, since it is smaller than the sum of its proper divisors (204546906).

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

121112010 is a wasteful number, since it uses less digits than its factorization.

121112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149540 (or 149531 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 121112010 is about 11005.0901859094. The cubic root of 121112010 is about 494.7613174358.

Adding to 121112010 its reverse (10211121), we get a palindrome (131323131).

The spelling of 121112010 in words is "one hundred twenty-one million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 149521 299042 448563 747605 897126 1345689 1495210 2242815 2691378 4037067 4485630 6728445 8074134 12111201 13456890 20185335 24222402 40370670 60556005 121112010