Search a number
-
+
122111121322300 = 225211139798633887
BaseRepresentation
bin11011110000111100110110…
…000000100111000100111100
3121000100201010222222221022011
4123300330312000213010330
5112001132034024303200
61111413024045301004
734502144264303005
oct3360746600470474
9530321128887264
10122111121322300
11359aa043613150
1211841b53564764
13531a04c595b56
1422222d19d21ac
15e1b5ccdc45ba
hex6f0f3602713c

122111121322300 has 72 divisors (see below), whose sum is σ = 291149970209280. Its totient is φ = 44084590507200.

The previous prime is 122111121322279. The next prime is 122111121322327. The reversal of 122111121322300 is 3223121111221.

It is a happy number.

It is a super-2 number, since 2×1221111213223002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399164044 + ... + 399469843.

It is an arithmetic number, because the mean of its divisors is an integer number (4043749586240).

Almost surely, 2122111121322300 is an apocalyptic number.

122111121322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111121322300 is an abundant number, since it is smaller than the sum of its proper divisors (169038848886980).

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

122111121322300 is a wasteful number, since it uses less digits than its factorization.

122111121322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798634051 (or 798634044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 122111121322300 its reverse (3223121111221), we get a palindrome (125334242433521).

The spelling of 122111121322300 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 6116 6950 7645 13900 15290 30580 38225 76450 152900 798633887 1597267774 3194535548 3993169435 7986338870 8784972757 15972677740 17569945514 19965847175 35139891028 39931694350 43924863785 79863388700 87849727570 111010110293 175699455140 219624318925 222020220586 439248637850 444040441172 555050551465 878497275700 1110101102930 1221111213223 2220202205860 2442222426446 2775252757325 4884444852892 5550505514650 6105556066115 11101011029300 12211112132230 24422224264460 30527780330575 61055560661150 122111121322300