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121215906 = 2337261751
BaseRepresentation
bin1110011100110…
…01101110100010
322110002101222000
413032121232202
5222012402111
620010024430
73001214100
oct716315642
9273071860
10121215906
1162472339
1234718116
131c1614b6
1412154c70
15a995c56
hex7399ba2

121215906 has 96 divisors (see below), whose sum is σ = 318908160. Its totient is φ = 34020000.

The previous prime is 121215889. The next prime is 121215907. The reversal of 121215906 is 609512121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 121215906.

It is not an unprimeable number, because it can be changed into a prime (121215907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161031 + ... + 161781.

It is an arithmetic number, because the mean of its divisors is an integer number (3321960).

Almost surely, 2121215906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121215906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159454080).

121215906 is an abundant number, since it is smaller than the sum of its proper divisors (197692254).

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

121215906 is a wasteful number, since it uses less digits than its factorization.

121215906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 121215906 is about 11009.8095351373. The cubic root of 121215906 is about 494.9027540831.

The spelling of 121215906 in words is "one hundred twenty-one million, two hundred fifteen thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 147 183 189 294 366 378 427 441 549 751 854 882 1098 1281 1323 1502 1647 2253 2562 2646 2989 3294 3843 4506 5257 5978 6759 7686 8967 10514 11529 13518 15771 17934 20277 23058 26901 31542 36799 40554 45811 47313 53802 73598 80703 91622 94626 110397 137433 141939 161406 220794 274866 283878 320677 331191 412299 641354 662382 824598 962031 993573 1236897 1924062 1987146 2244739 2473794 2886093 4489478 5772186 6734217 8658279 13468434 17316558 20202651 40405302 60607953 121215906