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121237116 = 2237111310093
BaseRepresentation
bin1110011100111…
…10111001111100
322110010111001120
413032132321330
5222014041431
620010310540
73001332660
oct716367174
9273114046
10121237116
1162487270
1234728450
131c16b050
141215c8a0
15a99c196
hex739ee7c

121237116 has 96 divisors (see below), whose sum is σ = 379857408. Its totient is φ = 29064960.

The previous prime is 121237097. The next prime is 121237141. The reversal of 121237116 is 611732121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6966 + ... + 17058.

It is an arithmetic number, because the mean of its divisors is an integer number (3956848).

Almost surely, 2121237116 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 121237116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189928704).

121237116 is an abundant number, since it is smaller than the sum of its proper divisors (258620292).

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

121237116 is a wasteful number, since it uses less digits than its factorization.

121237116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10131 (or 10129 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 121237116 is about 11010.7727249272. The cubic root of 121237116 is about 494.9316179387.

Adding to 121237116 its reverse (611732121), we get a palindrome (732969237).

The spelling of 121237116 in words is "one hundred twenty-one million, two hundred thirty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 10093 12012 20186 30279 40372 60558 70651 111023 121116 131209 141302 211953 222046 262418 282604 333069 393627 423906 444092 524836 666138 777161 787254 847812 918463 1332276 1443299 1554322 1574508 1836926 2331483 2755389 2886598 3108644 3673852 4329897 4662966 5510778 5773196 8659794 9325932 10103093 11021556 17319588 20206186 30309279 40412372 60618558 121237116