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123122100420 = 223251125652989
BaseRepresentation
bin111001010101010100…
…1100010100011000100
3102202210120221202010100
41302222221202203010
54004123224203140
6132321141524100
711616036404664
oct1625251424304
9382716852110
10123122100420
1148241241400
121ba41413630
13b7c1c7c877
145d5dc541a4
153309117530
hex1caaa628c4

123122100420 has 108 divisors (see below), whose sum is σ = 410508827820. Its totient is φ = 29847776640.

The previous prime is 123122100403. The next prime is 123122100427. The reversal of 123122100420 is 24001221321.

It is a happy number.

123122100420 is a `hidden beast` number, since 1 + 2 + 31 + 2 + 210 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72796356864 + 50325743556 = 269808^2 + 224334^2 .

It is a super-2 number, since 2×1231221004202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 123122100393 and 123122100402.

It is not an unprimeable number, because it can be changed into a prime (123122100427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2804715 + ... + 2848274.

It is an arithmetic number, because the mean of its divisors is an integer number (3801007665).

Almost surely, 2123122100420 is an apocalyptic number.

123122100420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123122100420 is an abundant number, since it is smaller than the sum of its proper divisors (287386727400).

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

123122100420 is a wasteful number, since it uses less digits than its factorization.

123122100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653026 (or 5653010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123122100420 its reverse (24001221321), we get a palindrome (147123321741).

The spelling of 123122100420 in words is "one hundred twenty-three billion, one hundred twenty-two million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 5652989 11305978 16958967 22611956 28264945 33917934 50876901 56529890 62182879 67835868 84794835 101753802 113059780 124365758 169589670 186548637 203507604 248731516 254384505 310914395 339179340 373097274 508769010 559645911 621828790 684011669 746194548 932743185 1017538020 1119291822 1243657580 1368023338 1865486370 2052035007 2238583644 2736046676 2798229555 3420058345 3730972740 4104070014 5596459110 6156105021 6840116690 8208140028 10260175035 11192918220 12312210042 13680233380 20520350070 24624420084 30780525105 41040700140 61561050210 123122100420