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122006020 = 22537792087
BaseRepresentation
bin1110100010110…
…10101000000100
322111120112210111
413101122220010
5222213143040
620035002404
73011014453
oct721325004
9274515714
10122006020
1162961a24
1234a39404
131c37a016
14122bcb9a
15aa9edea
hex745aa04

122006020 has 48 divisors (see below), whose sum is σ = 266595840. Its totient is φ = 46859904.

The previous prime is 122005997. The next prime is 122006021. The reversal of 122006020 is 20600221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122006021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57417 + ... + 59503.

It is an arithmetic number, because the mean of its divisors is an integer number (5554080).

Almost surely, 2122006020 is an apocalyptic number.

122006020 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 122006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133297920).

122006020 is an abundant number, since it is smaller than the sum of its proper divisors (144589820).

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

122006020 is a wasteful number, since it uses less digits than its factorization.

122006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 122006020 is about 11045.6335264212. The cubic root of 122006020 is about 495.9757239680.

Adding to 122006020 its reverse (20600221), we get a palindrome (142606241).

The spelling of 122006020 in words is "one hundred twenty-two million, six thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 740 790 1580 2087 2923 4174 5846 8348 10435 11692 14615 20870 29230 41740 58460 77219 154438 164873 308876 329746 386095 659492 772190 824365 1544380 1648730 3297460 6100301 12200602 24401204 30501505 61003010 122006020