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20221012120 = 2352329757909
BaseRepresentation
bin10010110101010001…
…000010100010011000
31221012020101211212211
4102311101002202120
5312403034341440
613142302244504
71314044524051
oct226521024230
957166354784
1020221012120
118637263771
123b03b86734
131ba340ac3a
14d9b7b7728
157d5375eea
hex4b5442898

20221012120 has 64 divisors (see below), whose sum is σ = 49112568000. Its totient is φ = 7469941248.

The previous prime is 20221012111. The next prime is 20221012129. The reversal of 20221012120 is 2121012202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20221012111) and next prime (20221012129).

It is a self number, because there is not a number n which added to its sum of digits gives 20221012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352275 + ... + 405634.

It is an arithmetic number, because the mean of its divisors is an integer number (767383875).

Almost surely, 220221012120 is an apocalyptic number.

20221012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221012120 is an abundant number, since it is smaller than the sum of its proper divisors (28891555880).

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

20221012120 is a wasteful number, since it uses less digits than its factorization.

20221012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757972 (or 757968 counting only the distinct ones).

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

Adding to 20221012120 its reverse (2121012202), we get a palindrome (22342024322).

The spelling of 20221012120 in words is "twenty billion, two hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 6670 13340 26680 757909 1515818 3031636 3789545 6063272 7579090 15158180 17431907 21979361 30316360 34863814 43958722 69727628 87159535 87917444 109896805 139455256 174319070 175834888 219793610 348638140 439587220 505525303 697276280 879174440 1011050606 2022101212 2527626515 4044202424 5055253030 10110506060 20221012120