Search a number
-
+
1201210001212 = 22131715756315373
BaseRepresentation
bin10001011110101101101…
…100100000011100111100
311020211112101112112121011
4101132231230200130330
5124140034230014322
62315454523045004
7152533050354244
oct21365554403474
94224471475534
101201210001212
114234808039a1
12174976970764
13893731a1460
14421d30dcb24
15213a604e677
hex117adb2073c

1201210001212 has 96 divisors (see below), whose sum is σ = 2416693914432. Its totient is φ = 517514489856.

The previous prime is 1201210001197. The next prime is 1201210001219. The reversal of 1201210001212 is 2121000121021.

It is a super-3 number, since 3×12012100012123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1201210001192 and 1201210001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201210001219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78129958 + ... + 78145330.

It is an arithmetic number, because the mean of its divisors is an integer number (25173894942).

Almost surely, 21201210001212 is an apocalyptic number.

It is an amenable number.

1201210001212 is an abundant number, since it is smaller than the sum of its proper divisors (1215483913220).

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

1201210001212 is a wasteful number, since it uses less digits than its factorization.

1201210001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16127 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1201210001212 its reverse (2121000121021), we get a palindrome (3322210122233).

The spelling of 1201210001212 in words is "one trillion, two hundred one billion, two hundred ten million, one thousand, two hundred twelve".

Divisors: 1 2 4 13 17 26 34 52 68 157 221 314 442 563 628 884 1126 2041 2252 2669 4082 5338 7319 8164 9571 10676 14638 15373 19142 29276 30746 34697 38284 61492 69394 88391 124423 138788 176782 199849 248846 261341 353564 399698 497692 522682 799396 1045364 1149083 1502647 2298166 2413561 3005294 3397433 4596332 4827122 6010588 6794866 8654999 9654244 13589732 17309998 19534411 31376293 34619996 39068822 41030537 62752586 78137644 82061074 112514987 125505172 147134983 164122148 225029974 294269966 450059948 533396981 588539932 1066793962 1358834843 1912754779 2133587924 2717669686 3825509558 5435339372 7651019116 17664852959 23100192331 35329705918 46200384662 70659411836 92400769324 300302500303 600605000606 1201210001212