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1220042412 = 223429413167
BaseRepresentation
bin100100010111000…
…0101111010101100
310011000201120120000
41020232011322230
54444312324122
6321021424300
742143121651
oct11056057254
93130646500
101220042412
11576755a16
122a070b090
131659c0cb4
14b8069c28
15721990ac
hex48b85eac

1220042412 has 120 divisors (see below), whose sum is σ = 3380952960. Its totient is φ = 382959360.

The previous prime is 1220042377. The next prime is 1220042413. The reversal of 1220042412 is 2142400221.

1220042412 is a `hidden beast` number, since 12 + 200 + 42 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1220042413) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 383653 + ... + 386819.

It is an arithmetic number, because the mean of its divisors is an integer number (28174608).

Almost surely, 21220042412 is an apocalyptic number.

1220042412 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 1220042412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690476480).

1220042412 is an abundant number, since it is smaller than the sum of its proper divisors (2160910548).

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

1220042412 is a wasteful number, since it uses less digits than its factorization.

1220042412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1220042412 is about 34929.1055138834. The cubic root of 1220042412 is about 1068.5421121046.

Adding to 1220042412 its reverse (2142400221), we get a palindrome (3362442633).

The spelling of 1220042412 in words is "one billion, two hundred twenty million, forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 41 54 58 81 82 87 108 116 123 162 164 174 246 261 324 348 369 492 522 738 783 1044 1107 1189 1476 1566 2214 2349 2378 3132 3167 3321 3567 4428 4698 4756 6334 6642 7134 9396 9501 10701 12668 13284 14268 19002 21402 28503 32103 38004 42804 57006 64206 85509 91843 96309 114012 128412 129847 171018 183686 192618 256527 259694 275529 342036 367372 385236 389541 513054 519388 551058 779082 826587 1026108 1102116 1168623 1558164 1653174 2337246 2479761 3306348 3505869 3765563 4674492 4959522 7011738 7439283 7531126 9919044 10517607 11296689 14023476 14878566 15062252 21035214 22593378 29757132 33890067 42070428 45186756 67780134 101670201 135560268 203340402 305010603 406680804 610021206 1220042412