Search a number
-
+
122012212201 = 111719436531223
BaseRepresentation
bin111000110100001111…
…1101001101111101001
3102122221020111120201021
41301220133221233221
53444340111242301
6132015053052441
711546401456165
oct1615037515751
9378836446637
10122012212201
1147821792a10
121b791787121
13b676049189
145c9669dca5
15329197b8a1
hex1c687e9be9

122012212201 has 64 divisors (see below), whose sum is σ = 152158279680. Its totient is φ = 96374154240.

The previous prime is 122012212123. The next prime is 122012212271. The reversal of 122012212201 is 102212210221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122012212201 - 29 = 122012211689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122012212271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99764076 + ... + 99765298.

It is an arithmetic number, because the mean of its divisors is an integer number (2377473120).

Almost surely, 2122012212201 is an apocalyptic number.

122012212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012212201 is a deficient number, since it is larger than the sum of its proper divisors (30146067479).

122012212201 is a wasteful number, since it uses less digits than its factorization.

122012212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122012212201 its reverse (102212210221), we get a palindrome (224224422422).

The spelling of 122012212201 in words is "one hundred twenty-two billion, twelve million, two hundred twelve thousand, two hundred one".

Divisors: 1 11 17 19 43 187 209 323 473 653 731 817 1223 3553 7183 8041 8987 11101 12407 13453 13889 20791 23237 28079 52589 122111 136477 152779 210919 228701 255607 308869 395029 477343 533501 578479 798619 894013 999191 2320109 4345319 5250773 5868511 8784809 9069517 9834143 10991101 13576523 15173761 16986247 34340617 99764687 149341753 166911371 186848717 257953937 377746787 583790489 652471723 2837493307 6421695379 7177188953 11092019291 122012212201