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122022001120 = 255822192767
BaseRepresentation
bin111000110100100010…
…0111111100111100000
3102122221220220220120211
41301221010333213200
53444400113013440
6132020042543504
711546550616255
oct1615104774740
9378856826524
10122022001120
1147827269528
121b794b07b94
13b678095936
145c97acb42c
153292761eea
hex1c6913f9e0

122022001120 has 48 divisors (see below), whose sum is σ = 288315151488. Its totient is φ = 48802337280.

The previous prime is 122022001081. The next prime is 122022001121. The reversal of 122022001120 is 21100220221.

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 122022001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022001121) 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 7 ways as a sum of consecutive naturals, for example, 1268977 + ... + 1361743.

It is an arithmetic number, because the mean of its divisors is an integer number (6006565656).

Almost surely, 2122022001120 is an apocalyptic number.

122022001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022001120 is an abundant number, since it is smaller than the sum of its proper divisors (166293150368).

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

122022001120 is an equidigital number, since it uses as much as digits as its factorization.

122022001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101003 (or 100995 counting only the distinct ones).

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

Adding to 122022001120 its reverse (21100220221), we get a palindrome (143122221341).

The spelling of 122022001120 in words is "one hundred twenty-two billion, twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8221 16442 32884 41105 65768 82210 92767 131536 164420 185534 263072 328840 371068 463835 657680 742136 927670 1315360 1484272 1855340 2968544 3710680 7421360 14842720 762637507 1525275014 3050550028 3813187535 6101100056 7626375070 12202200112 15252750140 24404400224 30505500280 61011000560 122022001120