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12122111211012 = 22321130611391947
BaseRepresentation
bin1011000001100110011000…
…1000011111011000000100
31120220212021202212100100100
42300121212020133120010
53042102040432223022
641440453201044100
72360536134124035
oct260314610373004
946825252770310
1012122111211012
113953a5a835010
12143941a626630
1369c1580bb92a
142dc9db48ca8c
151604cd4051ac
hexb066621f604

12122111211012 has 36 divisors (see below), whose sum is σ = 33427640007216. Its totient is φ = 3673367033520.

The previous prime is 12122111210977. The next prime is 12122111211053. The reversal of 12122111211012 is 21011211122121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15305695578 + ... + 15305696369.

It is an arithmetic number, because the mean of its divisors is an integer number (928545555756).

Almost surely, 212122111211012 is an apocalyptic number.

12122111211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122111211012 is an abundant number, since it is smaller than the sum of its proper divisors (21305528796204).

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

12122111211012 is a wasteful number, since it uses less digits than its factorization.

12122111211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30611391968 (or 30611391963 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122111211012 its reverse (21011211122121), we get a palindrome (33133322333133).

The spelling of 12122111211012 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 30611391947 61222783894 91834175841 122445567788 183668351682 275502527523 336725311417 367336703364 551005055046 673450622834 1010175934251 1102010110092 1346901245668 2020351868502 3030527802753 4040703737004 6061055605506 12122111211012