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12010002121220 = 22529137151145257
BaseRepresentation
bin1010111011000100101111…
…1010010000001000000100
31120112010220200211111200112
42232301023322100020010
53033232441020334340
641313152510132152
72346460022440535
oct256611372201004
946463820744615
1012010002121220
113910460108594
12141b7514b1058
136916cc9706cc
142d740413468c
1515c61b09c065
hexaec4be90204

12010002121220 has 48 divisors (see below), whose sum is σ = 26281137461040. Its totient is φ = 4604489078784.

The previous prime is 12010002121211. The next prime is 12010002121231. The reversal of 12010002121220 is 2212120001021.

It can be written as a sum of positive squares in 8 ways, for example, as 983445089344 + 11026557031876 = 991688^2 + 3320626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12010002121195 and 12010002121204.

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, 75493169 + ... + 75652088.

It is an arithmetic number, because the mean of its divisors is an integer number (547523697105).

Almost surely, 212010002121220 is an apocalyptic number.

12010002121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010002121220 is an abundant number, since it is smaller than the sum of its proper divisors (14271135339820).

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

12010002121220 is a wasteful number, since it uses less digits than its factorization.

12010002121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151145432 (or 151145430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12010002121220 its reverse (2212120001021), we get a palindrome (14222122122241).

The spelling of 12010002121220 in words is "twelve trillion, ten billion, two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 290 548 580 685 1370 2740 3973 7946 15892 19865 39730 79460 151145257 302290514 604581028 755726285 1511452570 3022905140 4383212453 8766424906 17532849812 20706900209 21916062265 41413800418 43832124530 82827600836 87664249060 103534501045 207069002090 414138004180 600500106061 1201000212122 2402000424244 3002500530305 6005001060610 12010002121220