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121200012 = 223219374789
BaseRepresentation
bin1110011100101…
…01110110001100
322110001121011100
413032111312030
5222011400022
620005423100
73001116543
oct716256614
9273047140
10121200012
11624613aa
123470aa90
131c1571ab
141214d15a
15a9911ac
hex7395d8c

121200012 has 72 divisors (see below), whose sum is σ = 331276400. Its totient is φ = 37231488.

The previous prime is 121200011. The next prime is 121200017. The reversal of 121200012 is 210002121.

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 = 121199967 and 121200003.

It is not an unprimeable number, because it can be changed into a prime (121200011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22914 + ... + 27702.

Almost surely, 2121200012 is an apocalyptic number.

121200012 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 121200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165638200).

121200012 is an abundant number, since it is smaller than the sum of its proper divisors (210076388).

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

121200012 is a wasteful number, since it uses less digits than its factorization.

121200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121200012 is about 11009.0877006226. The cubic root of 121200012 is about 494.8811223560.

Adding to 121200012 its reverse (210002121), we get a palindrome (331202133).

The spelling of 121200012 in words is "one hundred twenty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 4789 6327 8436 9578 12654 14367 19156 25308 28734 43101 57468 86202 90991 172404 177193 181982 272973 354386 363964 531579 545946 708772 818919 1063158 1091892 1594737 1637838 2126316 3189474 3275676 3366667 6378948 6733334 10100001 13466668 20200002 30300003 40400004 60600006 121200012