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20122121101020 = 22352022191658443
BaseRepresentation
bin1001001001101000010111…
…11000010101111011011100
32122020122201012212012202020
410210310023320111323130
510114140101000213040
6110443550321100140
74144526630164161
oct444641370257334
978218635765666
1020122121101020
11645881a862804
12230b975787650
13b2c67aa66563
144d7cb7184068
1524d651170cd0
hex124d0be15edc

20122121101020 has 48 divisors (see below), whose sum is σ = 56342251674240. Its totient is φ = 5365869189696.

The previous prime is 20122121101013. The next prime is 20122121101051. The reversal of 20122121101020 is 2010112122102.

It is a super-2 number, since 2×201221211010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11303919 + ... + 12962361.

It is an arithmetic number, because the mean of its divisors is an integer number (1173796909880).

Almost surely, 220122121101020 is an apocalyptic number.

20122121101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122121101020 is an abundant number, since it is smaller than the sum of its proper divisors (36220130573220).

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

20122121101020 is a wasteful number, since it uses less digits than its factorization.

20122121101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860674 (or 1860672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20122121101020 its reverse (2010112122102), we get a palindrome (22132233223122).

The spelling of 20122121101020 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 202219 404438 606657 808876 1011095 1213314 1658443 2022190 2426628 3033285 3316886 4044380 4975329 6066570 6633772 8292215 9950658 12133140 16584430 19901316 24876645 33168860 49753290 99506580 335368685017 670737370034 1006106055051 1341474740068 1676843425085 2012212110102 3353686850170 4024424220204 5030530275255 6707373700340 10061060550510 20122121101020