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122444420 = 22573189317
BaseRepresentation
bin1110100110001…
…01101010000100
322112101211011112
413103011222010
5222321210140
620052224152
73014521550
oct723055204
9275354145
10122444420
116313133a
123500b058
131c4a1727
1412394860
15ab39c65
hex74c5a84

122444420 has 96 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 40043520.

The previous prime is 122444401. The next prime is 122444429. The reversal of 122444420 is 24444221.

122444420 = T160 + T161 + ... + T903.

It is not an unprimeable number, because it can be changed into a prime (122444429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386102 + ... + 386418.

It is an arithmetic number, because the mean of its divisors is an integer number (3205440).

Almost surely, 2122444420 is an apocalyptic number.

122444420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

122444420 is an abundant number, since it is smaller than the sum of its proper divisors (185277820).

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

122444420 is a wasteful number, since it uses less digits than its factorization.

122444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 122444420 is about 11065.4606772606. The cubic root of 122444420 is about 496.5690713051.

Adding to 122444420 its reverse (24444221), we get a palindrome (146888641).

The spelling of 122444420 in words is "one hundred twenty-two million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 89 124 140 155 178 217 310 317 356 434 445 620 623 634 868 890 1085 1246 1268 1585 1780 2170 2219 2492 2759 3115 3170 4340 4438 5518 6230 6340 8876 9827 11036 11095 12460 13795 19313 19654 22190 27590 28213 38626 39308 44380 49135 55180 56426 68789 77252 96565 98270 112852 137578 141065 193130 196540 197491 275156 282130 343945 386260 394982 564260 687890 789964 874603 987455 1375780 1749206 1974910 3498412 3949820 4373015 6122221 8746030 12244442 17492060 24488884 30611105 61222210 122444420