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20111212001120 = 255563922290313
BaseRepresentation
bin1001001001010100000011…
…01001011011011101100000
32122012121112221110112000012
410210222001221123131200
510114000230233013440
6110434544021144052
74143662403313202
oct444520151333540
978177487415005
1020111212001120
116454131970569
12230983025b028
13b2b62c917766
144d75603b6772
1524d213589e65
hex124a81a5b760

20111212001120 has 48 divisors (see below), whose sum is σ = 47521166222880. Its totient is φ = 8043057859584.

The previous prime is 20111212001107. The next prime is 20111212001123. The reversal of 20111212001120 is 2110021211102.

It is a super-2 number, since 2×201112120011202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111212001095 and 20111212001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111212001123) 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, 10242917 + ... + 12047396.

It is an arithmetic number, because the mean of its divisors is an integer number (990024296310).

Almost surely, 220111212001120 is an apocalyptic number.

20111212001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111212001120 is an abundant number, since it is smaller than the sum of its proper divisors (27409954221760).

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

20111212001120 is a wasteful number, since it uses less digits than its factorization.

20111212001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22295967 (or 22295959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20111212001120 its reverse (2110021211102), we get a palindrome (22221233212222).

The spelling of 20111212001120 in words is "twenty trillion, one hundred eleven billion, two hundred twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5639 11278 22556 28195 45112 56390 90224 112780 180448 225560 451120 902240 22290313 44580626 89161252 111451565 178322504 222903130 356645008 445806260 713290016 891612520 1783225040 3566450080 125695075007 251390150014 502780300028 628475375035 1005560600056 1256950750070 2011121200112 2513901500140 4022242400224 5027803000280 10055606000560 20111212001120