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12212020440 = 2332553640043
BaseRepresentation
bin10110101111110010…
…01010010011011000
31011112002001220201100
423113321022103120
5200002234123230
65335441551400
7611424314064
oct132771122330
934462056640
1012212020440
1151a7404784
122449945560
1311c806a1c9
1483bc4caa4
154b71a1660
hex2d7e4a4d8

12212020440 has 96 divisors (see below), whose sum is σ = 40437979920. Its totient is φ = 3195089664.

The previous prime is 12212020439. The next prime is 12212020501. The reversal of 12212020440 is 4402021221.

12212020440 is a `hidden beast` number, since 1 + 2 + 21 + 202 + 0 + 440 = 666.

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, 300942 + ... + 339101.

Almost surely, 212212020440 is an apocalyptic number.

12212020440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212020440 is an abundant number, since it is smaller than the sum of its proper divisors (28225959480).

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

12212020440 is a wasteful number, since it uses less digits than its factorization.

12212020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640113 (or 640106 counting only the distinct ones).

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

Adding to 12212020440 its reverse (4402021221), we get a palindrome (16614041661).

The spelling of 12212020440 in words is "twelve billion, two hundred twelve million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 640043 1280086 1920129 2560172 3200215 3840258 5120344 5760387 6400430 7680516 9600645 11520774 12800860 15361032 19201290 23041548 25601720 28801935 33922279 38402580 46083096 57603870 67844558 76805160 101766837 115207740 135689116 169611395 203533674 230415480 271378232 305300511 339222790 407067348 508834185 610601022 678445580 814134696 1017668370 1221202044 1356891160 1526502555 2035336740 2442404088 3053005110 4070673480 6106010220 12212020440