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1224213136140 = 22351710111883257
BaseRepresentation
bin10001110100001000110…
…010100000001100001100
311100000220111222212111110
4101310020302200030030
5130024142030324030
62334221252052020
7154306066651461
oct21641062401414
94300814885443
101224213136140
11432205444705
12179316604010
138b59aaba4b7
14433761a5668
1521ca077d1b0
hex11d08ca030c

1224213136140 has 96 divisors (see below), whose sum is σ = 3665367163584. Its totient is φ = 304211353600.

The previous prime is 1224213136079. The next prime is 1224213136183. The reversal of 1224213136140 is 416313124221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1224213136098 and 1224213136107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5838609 + ... + 6044648.

It is an arithmetic number, because the mean of its divisors is an integer number (38180907954).

Almost surely, 21224213136140 is an apocalyptic number.

1224213136140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224213136140 is an abundant number, since it is smaller than the sum of its proper divisors (2441154027444).

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

1224213136140 is a wasteful number, since it uses less digits than its factorization.

1224213136140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883387 (or 11883385 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 1224213136140 in words is "one trillion, two hundred twenty-four billion, two hundred thirteen million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 303 340 404 505 510 606 1010 1020 1212 1515 1717 2020 3030 3434 5151 6060 6868 8585 10302 17170 20604 25755 34340 51510 103020 11883257 23766514 35649771 47533028 59416285 71299542 118832570 142599084 178248855 202015369 237665140 356497710 404030738 606046107 712995420 808061476 1010076845 1200208957 1212092214 2020153690 2400417914 2424184428 3030230535 3600626871 4040307380 4800835828 6001044785 6060461070 7201253742 12002089570 12120922140 14402507484 18003134355 20403552269 24004179140 36006268710 40807104538 61210656807 72012537420 81614209076 102017761345 122421313614 204035522690 244842627228 306053284035 408071045380 612106568070 1224213136140