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122000331440 = 245134113121841
BaseRepresentation
bin111000110011111001…
…0010101001010110000
3102122220102010222101002
41301213302111022300
53444324041101230
6132013550301132
711546165464331
oct1614762251260
9378812128332
10122000331440
11478160087a9
121b7897b77a8
13b673749540
145c94c8a288
1532908d1545
hex1c67c952b0

122000331440 has 160 divisors (see below), whose sum is σ = 315323692992. Its totient is φ = 43610112000.

The previous prime is 122000331419. The next prime is 122000331457. The reversal of 122000331440 is 44133000221.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5574920 + ... + 5596760.

Almost surely, 2122000331440 is an apocalyptic number.

122000331440 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 122000331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157661846496).

122000331440 is an abundant number, since it is smaller than the sum of its proper divisors (193323361552).

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

122000331440 is a wasteful number, since it uses less digits than its factorization.

122000331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22039 (or 22033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122000331440 its reverse (44133000221), we get a palindrome (166133331661).

The spelling of 122000331440 in words is "one hundred twenty-two billion, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 131 164 205 208 260 262 328 410 520 524 533 655 656 820 1040 1048 1066 1310 1640 1703 2096 2132 2620 2665 3280 3406 4264 5240 5330 5371 6812 8515 8528 10480 10660 10742 13624 17030 21320 21484 21841 26855 27248 34060 42640 42968 43682 53710 68120 69823 85936 87364 107420 109205 136240 139646 174728 214840 218410 279292 283933 349115 349456 429680 436820 558584 567866 698230 873640 895481 1117168 1135732 1396460 1419665 1747280 1790962 2271464 2792920 2839330 2861171 3581924 4477405 4542928 5585840 5678660 5722342 7163848 8954810 11357320 11444684 11641253 14305855 14327696 17909620 22714640 22889368 23282506 28611710 35819240 37195223 45778736 46565012 57223420 58206265 71638480 74390446 93130024 114446840 116412530 117308011 148780892 185976115 186260048 228893680 232825060 234616022 297561784 371952230 465650120 469232044 586540055 595123568 743904460 931300240 938464088 1173080110 1487808920 1525004143 1876928176 2346160220 2975617840 3050008286 4692320440 6100016572 7625020715 9384640880 12200033144 15250041430 24400066288 30500082860 61000165720 122000331440