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122467020 = 223513197797
BaseRepresentation
bin1110100110010…
…11001011001100
322112102222011120
413103023023030
5222322421040
620052520540
73014644464
oct723131314
9275388146
10122467020
1163147315
1235020150
131c4abac0
141239cba4
15ab417d0
hex74cb2cc

122467020 has 96 divisors (see below), whose sum is σ = 371625408. Its totient is φ = 29955072.

The previous prime is 122467013. The next prime is 122467039. The reversal of 122467020 is 20764221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153262 + ... + 154058.

It is an arithmetic number, because the mean of its divisors is an integer number (3871098).

Almost surely, 2122467020 is an apocalyptic number.

122467020 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 122467020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185812704).

122467020 is an abundant number, since it is smaller than the sum of its proper divisors (249158388).

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

122467020 is a wasteful number, since it uses less digits than its factorization.

122467020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122467020 is about 11066.4818257656. The cubic root of 122467020 is about 496.5996205960.

The spelling of 122467020 in words is "one hundred twenty-two million, four hundred sixty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 197 260 390 394 591 780 788 797 985 1182 1594 1970 2364 2391 2561 2955 3188 3940 3985 4782 5122 5910 7683 7970 9564 10244 10361 11820 11955 12805 15366 15940 20722 23910 25610 30732 31083 38415 41444 47820 51220 51805 62166 76830 103610 124332 153660 155415 157009 207220 310830 314018 471027 621660 628036 785045 942054 1570090 1884108 2041117 2355135 3140180 4082234 4710270 6123351 8164468 9420540 10205585 12246702 20411170 24493404 30616755 40822340 61233510 122467020