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1222020240144 = 2431189163159539
BaseRepresentation
bin10001110010000110000…
…101010001001100010000
311022211020200200012201020
4101302012011101030100
5130010144140141034
62333215514435440
7154200541440624
oct21620605211420
94284220605636
101222020240144
1143128a627470
12178a04132b80
138b30b6a54c2
1443208c57184
1521bc2eb6249
hex11c86151310

1222020240144 has 160 divisors (see below), whose sum is σ = 3503957875200. Its totient is φ = 363899796480.

The previous prime is 1222020240131. The next prime is 1222020240149. The reversal of 1222020240144 is 4410420202221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1222020240149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7579927 + ... + 7739465.

It is an arithmetic number, because the mean of its divisors is an integer number (21899736720).

Almost surely, 21222020240144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222020240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751978937600).

1222020240144 is an abundant number, since it is smaller than the sum of its proper divisors (2281937635056).

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

1222020240144 is a wasteful number, since it uses less digits than its factorization.

1222020240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159813 (or 159807 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1222020240144 its reverse (4410420202221), we get a palindrome (5632440442365).

The spelling of 1222020240144 in words is "one trillion, two hundred twenty-two billion, twenty million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 163 176 178 264 267 326 356 489 528 534 652 712 978 979 1068 1304 1424 1793 1956 1958 2136 2608 2937 3586 3912 3916 4272 5379 5874 7172 7824 7832 10758 11748 14344 14507 15664 21516 23496 28688 29014 43032 43521 46992 58028 86064 87042 116056 159539 159577 174084 232112 319078 319154 348168 478617 478731 638156 638308 696336 957234 957462 1276312 1276616 1754929 1914468 1914924 2552624 2553232 3509858 3828936 3829848 5264787 7019716 7657872 7659696 10529574 14039432 14198971 21059148 26004857 28078864 28397942 42118296 42596913 52009714 56795884 78014571 84236592 85193826 104019428 113591768 156029142 156188681 170387652 208038856 227183536 286053427 312058284 312377362 340775304 416077712 468566043 572106854 624116568 624754724 681550608 858160281 937132086 1144213708 1248233136 1249509448 1716320562 1874264172 2288427416 2314432273 2499018896 3432641124 3748528344 4576854832 4628864546 6865282248 6943296819 7497056688 9257729092 13730564496 13886593638 18515458184 25458755003 27773187276 37030916368 50917510006 55546374552 76376265009 101835020012 111092749104 152752530018 203670040024 305505060036 407340080048 611010120072 1222020240144