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122002120020 = 223511199928903
BaseRepresentation
bin111000110011111100…
…1001001110101010100
3102122220112111211211210
41301213321021311110
53444330020320040
6132014052501420
711546216624004
oct1614771116524
9378815454753
10122002120020
114781701a570
121b78a31a870
13b673c24681
145c951d4004
153290b36480
hex1c67e49d54

122002120020 has 96 divisors (see below), whose sum is σ = 374534092800. Its totient is φ = 29427615360.

The previous prime is 122002119893. The next prime is 122002120021. The reversal of 122002120020 is 20021200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122002119978 and 122002120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002120021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333112 + ... + 595791.

It is an arithmetic number, because the mean of its divisors is an integer number (3901396800).

Almost surely, 2122002120020 is an apocalyptic number.

122002120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002120020 is an abundant number, since it is smaller than the sum of its proper divisors (252531972780).

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

122002120020 is a wasteful number, since it uses less digits than its factorization.

122002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929125 (or 929123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122002120020 its reverse (20021200221), we get a palindrome (142023320241).

The spelling of 122002120020 in words is "one hundred twenty-two billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 199 220 330 398 597 660 796 995 1194 1990 2189 2388 2985 3980 4378 5970 6567 8756 10945 11940 13134 21890 26268 32835 43780 65670 131340 928903 1857806 2786709 3715612 4644515 5573418 9289030 10217933 11146836 13933545 18578060 20435866 27867090 30653799 40871732 51089665 55734180 61307598 102179330 122615196 153268995 184851697 204358660 306537990 369703394 554555091 613075980 739406788 924258485 1109110182 1848516970 2033368667 2218220364 2772775455 3697033940 4066737334 5545550910 6100106001 8133474668 10166843335 11091101820 12200212002 20333686670 24400424004 30500530005 40667373340 61001060010 122002120020