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122041420 = 22531414801
BaseRepresentation
bin1110100011000…
…11010001001100
322111122100100121
413101203101030
5222220311140
620035434324
73011222614
oct721432114
9274570317
10122041420
1162986586
1234a559a4
131c390177
14122cba44
15aaaa64a
hex746344c

122041420 has 48 divisors (see below), whose sum is σ = 271063296. Its totient is φ = 46080000.

The previous prime is 122041417. The next prime is 122041463. The reversal of 122041420 is 24140221.

It is a junction number, because it is equal to n+sod(n) for n = 122041394 and 122041403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23020 + ... + 27820.

It is an arithmetic number, because the mean of its divisors is an integer number (5647152).

Almost surely, 2122041420 is an apocalyptic number.

122041420 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 122041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135531648).

122041420 is an abundant number, since it is smaller than the sum of its proper divisors (149021876).

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

122041420 is a wasteful number, since it uses less digits than its factorization.

122041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122041420 is about 11047.2358533707. The cubic root of 122041420 is about 496.0236883848.

Adding to 122041420 its reverse (24140221), we get a palindrome (146181641).

The spelling of 122041420 in words is "one hundred twenty-two million, forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 4801 5084 6355 9602 12710 19204 24005 25420 48010 96020 148831 196841 297662 393682 595324 744155 787364 984205 1488310 1968410 2976620 3936820 6102071 12204142 24408284 30510355 61020710 122041420