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122021121020 = 225479105112119
BaseRepresentation
bin111000110100100000…
…1101000101111111100
3102122221212021012022112
41301221001220233330
53444344401333040
6132020012033152
711546540262341
oct1615101505774
9378855235275
10122021121020
1147826818277
121b7947627b8
13b677b48176
145c9793c7c8
15329263b365
hex1c69068bfc

122021121020 has 48 divisors (see below), whose sum is σ = 257044838400. Its totient is φ = 48656193600.

The previous prime is 122021120957. The next prime is 122021121043. The reversal of 122021121020 is 20121120221.

It is a junction number, because it is equal to n+sod(n) for n = 122021120986 and 122021121004.

It is a congruent number.

It is an unprimeable number.

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, 10062521 + ... + 10074639.

It is an arithmetic number, because the mean of its divisors is an integer number (5355100800).

Almost surely, 2122021121020 is an apocalyptic number.

122021121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021121020 is an abundant number, since it is smaller than the sum of its proper divisors (135023717380).

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

122021121020 is a wasteful number, since it uses less digits than its factorization.

122021121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658 (or 13656 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122021121020 its reverse (20121120221), we get a palindrome (142142241241).

The spelling of 122021121020 in words is "one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 479 958 1051 1916 2102 2395 4204 4790 5255 9580 10510 12119 21020 24238 48476 60595 121190 242380 503429 1006858 2013716 2517145 5034290 5805001 10068580 11610002 12737069 23220004 25474138 29025005 50948276 58050010 63685345 116100020 127370690 254741380 6101056051 12202112102 24404224204 30505280255 61010560510 122021121020