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122011020020 = 22511358519227
BaseRepresentation
bin111000110100001101…
…1000110101011110100
3102122221011021000100102
41301220123012223310
53444334310120040
6132015011333232
711546355362351
oct1615033065364
9378834230312
10122011020020
114782104923a
121b7912b1218
13b675a1c646
145c9646d628
1532917e3515
hex1c686c6af4

122011020020 has 48 divisors (see below), whose sum is σ = 258562801728. Its totient is φ = 48359001600.

The previous prime is 122011019981. The next prime is 122011020023. The reversal of 122011020020 is 20020110221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122011019983 and 122011020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13218647 + ... + 13227873.

It is an arithmetic number, because the mean of its divisors is an integer number (5386725036).

Almost surely, 2122011020020 is an apocalyptic number.

122011020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011020020 is an abundant number, since it is smaller than the sum of its proper divisors (136551781708).

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

122011020020 is a wasteful number, since it uses less digits than its factorization.

122011020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15200 (or 15198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122011020020 its reverse (20020110221), we get a palindrome (142031130241).

The spelling of 122011020020 in words is "one hundred twenty-two billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 5851 9227 11702 18454 23404 29255 36908 46135 58510 92270 117020 184540 661163 1042651 1322326 2085302 2644652 3305815 4170604 5213255 6611630 10426510 13223260 20853020 53987177 107974354 215948708 269935885 539871770 1079743540 6100551001 12201102002 24402204004 30502755005 61005510010 122011020020