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1213212240 = 243253745541
BaseRepresentation
bin100100001010000…
…0010011001010000
310010112212120022200
41020110002121100
54441040242430
6320215203200
742031063632
oct11024023120
93115776280
101213212240
11572910349
1229a376500
1316446c186
14b71aca52
157179a460
hex48502650

1213212240 has 120 divisors (see below), whose sum is σ = 4184581128. Its totient is φ = 314772480.

The previous prime is 1213212239. The next prime is 1213212281. The reversal of 1213212240 is 422123121.

It is a happy number.

1213212240 is a `hidden beast` number, since 1 + 213 + 212 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101123136 + 1112089104 = 10056^2 + 33348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3870 + ... + 49410.

Almost surely, 21213212240 is an apocalyptic number.

1213212240 is a gapful number since it is divisible by the number (10) 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 1213212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092290564).

1213212240 is an abundant number, since it is smaller than the sum of its proper divisors (2971368888).

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

1213212240 is a wasteful number, since it uses less digits than its factorization.

1213212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45597 (or 45588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1213212240 is about 34831.1963618823. The cubic root of 1213212240 is about 1066.5443705276.

Adding to 1213212240 its reverse (422123121), we get a palindrome (1635335361).

The spelling of 1213212240 in words is "one billion, two hundred thirteen million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 45541 91082 136623 182164 227705 273246 364328 409869 455410 546492 683115 728656 819738 910820 1092984 1366230 1639476 1685017 1821640 2049345 2185968 2732460 3278952 3370034 3643280 4098690 5055051 5464920 6557904 6740068 8197380 8425085 10110102 10929840 13480136 15165153 16394760 16850170 20220204 25275255 26960272 30330306 32789520 33700340 40440408 50550510 60660612 67400680 75825765 80880816 101101020 121321224 134801360 151651530 202202040 242642448 303303060 404404080 606606120 1213212240