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1020002212012 = 227192412461229
BaseRepresentation
bin11101101011111001101…
…11101001100010101100
310121111210201010002001011
432311330313221202230
5113202431031241022
62100325455155004
7133456414514650
oct16657467514254
93544721102034
101020002212012
11363642725923
12145824815a64
1375255269254
1437522b46a60
151b7ec7bc977
hexed7cde98ac

1020002212012 has 72 divisors (see below), whose sum is σ = 2205537737760. Its totient is φ = 404035188480.

The previous prime is 1020002211953. The next prime is 1020002212013. The reversal of 1020002212012 is 2102122000201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020002211983 and 1020002212001.

It is not an unprimeable number, because it can be changed into a prime (1020002212013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816187 + ... + 1645042.

It is an arithmetic number, because the mean of its divisors is an integer number (30632468580).

Almost surely, 21020002212012 is an apocalyptic number.

It is an amenable number.

1020002212012 is an abundant number, since it is smaller than the sum of its proper divisors (1185535525748).

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

1020002212012 is a wasteful number, since it uses less digits than its factorization.

1020002212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461319 (or 2461298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020002212012 its reverse (2102122000201), we get a palindrome (3122124212213).

The spelling of 1020002212012 in words is "one trillion, twenty billion, two million, two hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 361 532 574 722 779 1148 1444 1558 2527 3116 5054 5453 10108 10906 14801 21812 29602 59204 103607 207214 414428 2461229 4922458 9844916 17228603 34457206 46763351 68914412 93526702 100910389 187053404 201820778 327343457 403641556 654686914 706372723 888503669 1309373828 1412745446 1777007338 1917297391 2825490892 3554014676 3834594782 6219525683 7669189564 12439051366 13421081737 24878102732 26842163474 36428650429 53684326948 72857300858 145714601716 255000553003 510001106006 1020002212012