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1211012020212 = 2231947509222023
BaseRepresentation
bin10001100111110101111…
…100001111011111110100
311021202211111202200211220
4101213311330033133310
5124320123034121322
62324155314230340
7153331002221151
oct21476574173764
94252744680756
101211012020212
11427650794945
121768515853b0
138a275b605b7
1442882c47228
152177b85155c
hex119f5f0f7f4

1211012020212 has 96 divisors (see below), whose sum is σ = 3043682611200. Its totient is φ = 373551126912.

The previous prime is 1211012020151. The next prime is 1211012020223. The reversal of 1211012020212 is 2120202101121.

It is a super-2 number, since 2×12110120202122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211012020191 and 1211012020200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343433 + ... + 5565455.

It is an arithmetic number, because the mean of its divisors is an integer number (31705027200).

Almost surely, 21211012020212 is an apocalyptic number.

1211012020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211012020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521841305600).

1211012020212 is an abundant number, since it is smaller than the sum of its proper divisors (1832670590988).

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

1211012020212 is a wasteful number, since it uses less digits than its factorization.

1211012020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222605 (or 222603 counting only the distinct ones).

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

Adding to 1211012020212 its reverse (2120202101121), we get a palindrome (3331214121333).

The spelling of 1211012020212 in words is "one trillion, two hundred eleven billion, twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 509 564 893 1018 1527 1786 2036 2679 3054 3572 5358 6108 9671 10716 19342 23923 29013 38684 47846 58026 71769 95692 116052 143538 222023 287076 444046 454537 666069 888092 909074 1332138 1363611 1818148 2664276 2727222 4218437 5454444 8436874 10435081 12655311 16873748 20870162 25310622 31305243 41740324 50621244 62610486 113009707 125220972 198266539 226019414 339029121 396533078 452038828 594799617 678058242 793066156 1189599234 1356116484 2147184433 2379198468 4294368866 5311456229 6441553299 8588737732 10622912458 12883106598 15934368687 21245824916 25766213196 31868737374 63737474748 100917668351 201835336702 302753005053 403670673404 605506010106 1211012020212