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122132244891696 = 243133119732049247
BaseRepresentation
bin11011110001010000100001…
…000100101000100000110000
3121000102201200010201110000020
4123301100201010220200300
5112002003314143013241
61111430440112523440
734503522611546304
oct3361204104504060
9530381603643006
10122132244891696
1135a07aa3295516
1211846069850580
13531c037984440
1422233371cdd04
15e1be175ceb66
hex6f1421128830

122132244891696 has 160 divisors (see below), whose sum is σ = 352519165329408. Its totient is φ = 36182316764160.

The previous prime is 122132244891691. The next prime is 122132244891731. The reversal of 122132244891696 is 696198442231221.

It is not an unprimeable number, because it can be changed into a prime (122132244891691) 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, 12213856 + ... + 19835391.

Almost surely, 2122132244891696 is an apocalyptic number.

122132244891696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122132244891696 is an abundant number, since it is smaller than the sum of its proper divisors (230386920437712).

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

122132244891696 is a wasteful number, since it uses less digits than its factorization.

122132244891696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32049499 (or 32049493 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The spelling of 122132244891696 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred forty-four million, eight hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 197 208 248 312 372 394 403 496 591 624 744 788 806 1182 1209 1488 1576 1612 2364 2418 2561 3152 3224 4728 4836 5122 6107 6448 7683 9456 9672 10244 12214 15366 18321 19344 20488 24428 30732 36642 40976 48856 61464 73284 79391 97712 122928 146568 158782 238173 293136 317564 476346 635128 952692 1270256 1905384 3810768 32049247 64098494 96147741 128196988 192295482 256393976 384590964 416640211 512787952 769181928 833280422 993526657 1249920633 1538363856 1666560844 1987053314 2499841266 2980579971 3333121688 3974106628 4999682532 5961159942 6313701659 6666243376 7948213256 9999365064 11922319884 12627403318 12915846541 15896426512 18941104977 19998730128 23844639768 25254806636 25831693082 37882209954 38747539623 47689279536 50509613272 51663386164 75764419908 77495079246 82078121567 101019226544 103326772328 151528839816 154990158492 164156243134 195724751429 206653544656 246234364701 303057679632 309980316984 328312486268 391449502858 492468729402 587174254287 619960633968 656624972536 782899005716 984937458804 1174348508574 1313249945072 1565798011432 1969874917608 2348697017148 2544421768577 3131596022864 3939749835216 4697394034296 5088843537154 7633265305731 9394788068592 10177687074308 15266530611462 20355374148616 30533061222924 40710748297232 61066122445848 122132244891696