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122002021120 = 285713616297
BaseRepresentation
bin111000110011111100…
…0110001101100000000
3102122220112022211011211
41301213320301230000
53444330004133440
6132014050415504
711546216032450
oct1614770615400
9378815284154
10122002021120
1147816a62231
121b78a291594
13b673bbb655
145c951a9d60
153290b16eea
hex1c67e31b00

122002021120 has 72 divisors (see below), whose sum is σ = 333980557344. Its totient is φ = 41829261312.

The previous prime is 122002021111. The next prime is 122002021121. The reversal of 122002021120 is 21120200221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122002021120.

It is not an unprimeable number, because it can be changed into a prime (122002021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6799189 + ... + 6817108.

It is an arithmetic number, because the mean of its divisors is an integer number (4638618852).

Almost surely, 2122002021120 is an apocalyptic number.

122002021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002021120 is an abundant number, since it is smaller than the sum of its proper divisors (211978536224).

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

122002021120 is an equidigital number, since it uses as much as digits as its factorization.

122002021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616325 (or 13616311 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122002021120 its reverse (21120200221), we get a palindrome (143122221341).

The spelling of 122002021120 in words is "one hundred twenty-two billion, two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 13616297 27232594 54465188 68081485 95314079 108930376 136162970 190628158 217860752 272325940 381256316 435721504 476570395 544651880 762512632 871443008 953140790 1089303760 1525025264 1742886016 1906281580 2178607520 3050050528 3485772032 3812563160 4357215040 6100101056 7625126320 8714430080 12200202112 15250252640 17428860160 24400404224 30500505280 61001010560 122002021120