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101212020012012 = 22371392685000011
BaseRepresentation
bin10111000000110101000010…
…011111111111001111101100
3111021100202220200210111221020
4113000311002133333033230
5101231224204110341022
6555132054325534140
730214220131231140
oct2700650237771754
9437322820714836
10101212020012012
112a28185a783198
12b427698874350
134462338a811a0
141adc98b887220
15ba7b5488035c
hex5c0d427ff3ec

101212020012012 has 48 divisors (see below), whose sum is σ = 290660160037632. Its totient is φ = 26693280002880.

The previous prime is 101212020012011. The next prime is 101212020012101. The reversal of 101212020012012 is 210210020212101.

101212020012012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1012120200120123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101212020011982 and 101212020012000.

It is not an unprimeable number, because it can be changed into a prime (101212020012011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46342498914 + ... + 46342501097.

It is an arithmetic number, because the mean of its divisors is an integer number (6055420000784).

Almost surely, 2101212020012012 is an apocalyptic number.

101212020012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212020012012 is an abundant number, since it is smaller than the sum of its proper divisors (189448140025620).

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

101212020012012 is a wasteful number, since it uses less digits than its factorization.

101212020012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92685000038 (or 92685000036 counting only the distinct ones).

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

Adding to 101212020012012 its reverse (210210020212101), we get a palindrome (311422040224113).

The spelling of 101212020012012 in words is "one hundred one trillion, two hundred twelve billion, twenty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 92685000011 185370000022 278055000033 370740000044 556110000066 648795000077 1112220000132 1204905000143 1297590000154 1946385000231 2409810000286 2595180000308 3614715000429 3892770000462 4819620000572 7229430000858 7785540000924 8434335001001 14458860001716 16868670002002 25303005003003 33737340004004 50606010006006 101212020012012