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12021102100020 = 22351315411669359
BaseRepresentation
bin1010111011101110000110…
…0001010011111000110100
31120120012120021101212001110
42232323201201103320310
53033423204114200040
641322230145155020
72350332054630006
oct256734141237064
946505507355043
1012021102100020
113915136822992
12142192a92ba70
1369277b501cc0
142d7b783cc376
1515ca6a7d9980
hexaeee1853e34

12021102100020 has 48 divisors (see below), whose sum is σ = 36248246334720. Its totient is φ = 2959040516736.

The previous prime is 12021102099991. The next prime is 12021102100027. The reversal of 12021102100020 is 2000120112021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021102099969 and 12021102100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021102100027) by changing a digit.

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, 7705833900 + ... + 7705835459.

It is an arithmetic number, because the mean of its divisors is an integer number (755171798640).

Almost surely, 212021102100020 is an apocalyptic number.

12021102100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021102100020 is an abundant number, since it is smaller than the sum of its proper divisors (24227144234700).

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

12021102100020 is a wasteful number, since it uses less digits than its factorization.

12021102100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411669384 (or 15411669382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021102100020 its reverse (2000120112021), we get a palindrome (14021222212041).

The spelling of 12021102100020 in words is "twelve trillion, twenty-one billion, one hundred two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 15411669359 30823338718 46235008077 61646677436 77058346795 92470016154 154116693590 184940032308 200351701667 231175040385 308233387180 400703403334 462350080770 601055105001 801406806668 924700161540 1001758508335 1202110210002 2003517016670 2404220420004 3005275525005 4007034033340 6010551050010 12021102100020