Search a number
-
+
121122270 = 23352931499
BaseRepresentation
bin1110011100000…
…10110111011110
322102220122112000
413032002313132
5222001403040
620004023130
73000344103
oct716026736
9272818460
10121122270
1162408a55
1234691aa6
131c12a9a9
141212caaa
15a978130
hex7382dde

121122270 has 128 divisors (see below), whose sum is σ = 345600000. Its totient is φ = 30119040.

The previous prime is 121122269. The next prime is 121122293. The reversal of 121122270 is 72221121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242481 + ... + 242979.

It is an arithmetic number, because the mean of its divisors is an integer number (2700000).

Almost surely, 2121122270 is an apocalyptic number.

121122270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

121122270 is an abundant number, since it is smaller than the sum of its proper divisors (224477730).

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

121122270 is a wasteful number, since it uses less digits than its factorization.

121122270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 121122270 is about 11005.5563239665. The cubic root of 121122270 is about 494.7752882709.

Adding to 121122270 its reverse (72221121), we get a palindrome (193343391).

The spelling of 121122270 in words is "one hundred twenty-one million, one hundred twenty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 31 45 54 58 62 87 90 93 135 145 155 174 186 261 270 279 290 310 435 465 499 522 558 783 837 870 899 930 998 1305 1395 1497 1566 1674 1798 2495 2610 2697 2790 2994 3915 4185 4491 4495 4990 5394 7485 7830 8091 8370 8982 8990 13473 13485 14471 14970 15469 16182 22455 24273 26946 26970 28942 30938 40455 43413 44910 46407 48546 67365 72355 77345 80910 86826 92814 121365 130239 134730 139221 144710 154690 217065 232035 242730 260478 278442 390717 417663 434130 448601 464070 651195 696105 781434 835326 897202 1302390 1345803 1392210 1953585 2088315 2243005 2691606 3907170 4037409 4176630 4486010 6729015 8074818 12112227 13458030 20187045 24224454 40374090 60561135 121122270