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122425421200 = 245223131101581
BaseRepresentation
bin111001000000100011…
…1111010110110010000
3102201000001000202220021
41302001013322312100
54001211401434300
6132124053353224
711562546624145
oct1620107726620
9381001022807
10122425421200
1147a13a5aa55
121b888038814
13b710833b44
145cd55023cc
1532b7d9dd1a
hex1c811fad90

122425421200 has 120 divisors (see below), whose sum is σ = 309261116736. Its totient is φ = 46483008000.

The previous prime is 122425421189. The next prime is 122425421233. The reversal of 122425421200 is 2124524221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154410 + ... + 1255990.

Almost surely, 2122425421200 is an apocalyptic number.

122425421200 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 122425421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154630558368).

122425421200 is an abundant number, since it is smaller than the sum of its proper divisors (186835695536).

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

122425421200 is a wasteful number, since it uses less digits than its factorization.

122425421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101753 (or 101742 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 122425421200 its reverse (2124524221), we get a palindrome (124549945421).

The spelling of 122425421200 in words is "one hundred twenty-two billion, four hundred twenty-five million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 131 184 200 230 262 368 400 460 524 575 655 920 1048 1150 1310 1840 2096 2300 2620 3013 3275 4600 5240 6026 6550 9200 10480 12052 13100 15065 24104 26200 30130 48208 52400 60260 75325 101581 120520 150650 203162 241040 301300 406324 507905 602600 812648 1015810 1205200 1625296 2031620 2336363 2539525 4063240 4672726 5079050 8126480 9345452 10158100 11681815 13307111 18690904 20316200 23363630 26614222 37381808 40632400 46727260 53228444 58409075 66535555 93454520 106456888 116818150 133071110 186909040 212913776 233636300 266142220 306063553 332677775 467272600 532284440 612127106 665355550 934545200 1064568880 1224254212 1330711100 1530317765 2448508424 2661422200 3060635530 4897016848 5322844400 6121271060 7651588825 12242542120 15303177650 24485084240 30606355300 61212710600 122425421200