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1211221444004 = 22111331156743591
BaseRepresentation
bin10001101000000010011…
…011001000010110100100
311021210101002211112021122
4101220002123020112210
5124321040142202004
62324232155033112
7153336124255145
oct21500233102644
94253332745248
101211221444004
11427748a24060
121768ab73b798
138a2aa3670c0
14428a299dacc
152178ee1ccbe
hex11a026c85a4

1211221444004 has 96 divisors (see below), whose sum is σ = 2572232097792. Its totient is φ = 491485968000.

The previous prime is 1211221443983. The next prime is 1211221444009. The reversal of 1211221444004 is 4004441221121.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1211221444009) 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, 27764249 + ... + 27807839.

It is an arithmetic number, because the mean of its divisors is an integer number (26794084352).

Almost surely, 21211221444004 is an apocalyptic number.

It is an amenable number.

1211221444004 is an abundant number, since it is smaller than the sum of its proper divisors (1361010653788).

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

1211221444004 is a wasteful number, since it uses less digits than its factorization.

1211221444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45217 (or 45215 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 1211221444004 its reverse (4004441221121), we get a palindrome (5215662665125).

The spelling of 1211221444004 in words is "one trillion, two hundred eleven billion, two hundred twenty-one million, four hundred forty-four thousand, four".

Divisors: 1 2 4 11 13 22 26 31 44 52 62 124 143 286 341 403 572 682 806 1364 1567 1612 3134 4433 6268 8866 17237 17732 20371 34474 40742 43591 48577 68948 81484 87182 97154 174364 194308 224081 448162 479501 534347 566683 631501 896324 959002 1068694 1133366 1263002 1351321 1918004 2137388 2266732 2526004 2702642 5405284 6233513 6946511 12467026 13893022 14864531 17567173 24934052 27786044 29729062 35134346 59458124 68307097 70268692 136614194 193238903 273228388 386477806 751378067 772955612 887992261 1502756134 1775984522 2117520007 3005512268 3551969044 4235040014 8470080028 9767914871 19535829742 23292720077 27527760091 39071659484 46585440154 55055520182 93170880308 110111040364 302805361001 605610722002 1211221444004