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12012020000100 = 22325234337388697
BaseRepresentation
bin1010111011001100010000…
…1011110110010101100100
31120112100010022211101010100
42232303010023312111210
53033301104110000400
641314125032224100
72346561024225411
oct256630413662544
946470108741110
1012012020000100
1139112a615688a
12142001523b030
13691961a37893
142d7556125108
1515c6d82e2100
hexaecc42f6564

12012020000100 has 108 divisors (see below), whose sum is σ = 37652202737604. Its totient is φ = 3203103805440.

The previous prime is 12012020000089. The next prime is 12012020000143. The reversal of 12012020000100 is 100002021021.

12012020000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5129710884 + 12006890289216 = 71622^2 + 3465096^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30708952 + ... + 31097648.

Almost surely, 212012020000100 is an apocalyptic number.

12012020000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012020000100 is an abundant number, since it is smaller than the sum of its proper divisors (25640182737504).

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

12012020000100 is a wasteful number, since it uses less digits than its factorization.

12012020000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423054 (or 423044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12012020000100 its reverse (100002021021), we get a palindrome (12112022021121).

The spelling of 12012020000100 in words is "twelve trillion, twelve billion, twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 34337 68674 103011 137348 171685 206022 309033 343370 388697 412044 515055 618066 686740 777394 858425 1030110 1166091 1236132 1545165 1554788 1716850 1943485 2060220 2332182 2575275 3090330 3433700 3498273 3886970 4664364 5150550 5830455 6180660 6996546 7725825 7773940 9717425 10301100 11660910 13993092 15451650 17491365 19434850 23321820 29152275 30903300 34982730 38869700 58304550 69965460 87456825 116609100 174913650 349827300 13346688889 26693377778 40040066667 53386755556 66733444445 80080133334 120120200001 133466888890 160160266668 200200333335 240240400002 266933777780 333667222225 400400666670 480480800004 600601000005 667334444450 800801333340 1001001666675 1201202000010 1334668888900 2002003333350 2402404000020 3003005000025 4004006666700 6006010000050 12012020000100