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1122192916240 = 2451143211140551
BaseRepresentation
bin10000010101000111111…
…010001111111100010000
310222021120112221201112111
4100111013322033330100
5121341222341304430
62215310040435104
7144034662255154
oct20250772177420
93867515851474
101122192916240
113a2a12711490
121615a4178a94
1381a8c8a4186
143c458b05064
151e2cded9c2a
hex10547e8ff10

1122192916240 has 160 divisors (see below), whose sum is σ = 2926306132992. Its totient is φ = 396688320000.

The previous prime is 1122192916193. The next prime is 1122192916261. The reversal of 1122192916240 is 426192912211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1122192916193 and 1122192916202.

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, 7913965 + ... + 8054515.

Almost surely, 21122192916240 is an apocalyptic number.

1122192916240 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 1122192916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463153066496).

1122192916240 is an abundant number, since it is smaller than the sum of its proper divisors (1804113216752).

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

1122192916240 is a wasteful number, since it uses less digits than its factorization.

1122192916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140829 (or 140823 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 1122192916240 in words is "one trillion, one hundred twenty-two billion, one hundred ninety-two million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 211 215 220 344 422 430 440 473 688 844 860 880 946 1055 1688 1720 1892 2110 2321 2365 3376 3440 3784 4220 4642 4730 7568 8440 9073 9284 9460 11605 16880 18146 18568 18920 23210 36292 37136 37840 45365 46420 72584 90730 92840 99803 140551 145168 181460 185680 199606 281102 362920 399212 499015 562204 702755 725840 798424 998030 1124408 1405510 1546061 1596848 1996060 2248816 2811020 3092122 3992120 5622040 6043693 6184244 7730305 7984240 11244080 12087386 12368488 15460610 24174772 24736976 29656261 30218465 30921220 48349544 59312522 60436930 61842440 66480623 96699088 118625044 120873860 123684880 132961246 148281305 237250088 241747720 265922492 296562610 326218871 332403115 474500176 483495440 531844984 593125220 652437742 664806230 1063689968 1186250440 1275219223 1304875484 1329612460 1631094355 2372500880 2550438446 2609750968 2659224920 3262188710 5100876892 5219501936 5318449840 6376096115 6524377420 10201753784 12752192230 13048754840 14027411453 20403507568 25504384460 26097509680 28054822906 51008768920 56109645812 70137057265 102017537840 112219291624 140274114530 224438583248 280548229060 561096458120 1122192916240