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12000221022120 = 2335409324432407
BaseRepresentation
bin1010111010100000010011…
…1010010100011110101000
31120111012200000222012010220
42232220010322110132220
53033102423040201440
641304454143210040
72345662443453612
oct256500472243650
946435600865126
1012000221022120
1139072a0a16011
1214198818a6920
136908014275c6
142d6b570b3db2
1515c24752d8d0
hexaea04e947a8

12000221022120 has 64 divisors (see below), whose sum is σ = 36009460206720. Its totient is φ = 3199276971264.

The previous prime is 12000221022091. The next prime is 12000221022149. The reversal of 12000221022120 is 2122012200021.

It is an interprime number because it is at equal distance from previous prime (12000221022091) and next prime (12000221022149).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12000221022120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11725044 + ... + 12707363.

It is an arithmetic number, because the mean of its divisors is an integer number (562647815730).

Almost surely, 212000221022120 is an apocalyptic number.

12000221022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000221022120 is an abundant number, since it is smaller than the sum of its proper divisors (24009239184600).

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

12000221022120 is a wasteful number, since it uses less digits than its factorization.

12000221022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24436514 (or 24436510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12000221022120 its reverse (2122012200021), we get a palindrome (14122233222141).

The spelling of 12000221022120 in words is "twelve trillion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4093 8186 12279 16372 20465 24558 32744 40930 49116 61395 81860 98232 122790 163720 245580 491160 24432407 48864814 73297221 97729628 122162035 146594442 195459256 244324070 293188884 366486105 488648140 586377768 732972210 977296280 1465944420 2931888840 100001841851 200003683702 300005525553 400007367404 500009209255 600011051106 800014734808 1000018418510 1200022102212 1500027627765 2000036837020 2400044204424 3000055255530 4000073674040 6000110511060 12000221022120