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122056912992 = 25372231128151
BaseRepresentation
bin111000110101100101…
…0001011000001100000
3102200001100121121200010
41301223022023001200
53444433032203432
6132023331124520
711550453433200
oct1615312130140
9380040547603
10122056912992
1147844a44313
121b7a4743740
13b68239a551
145c9c5b8400
15329585b3cc
hex1c6b28b060

122056912992 has 144 divisors (see below), whose sum is σ = 388914607872. Its totient is φ = 33357139200.

The previous prime is 122056912979. The next prime is 122056913029. The reversal of 122056912992 is 299219650221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455884 + ... + 672267.

It is an arithmetic number, because the mean of its divisors is an integer number (2700795888).

Almost surely, 2122056912992 is an apocalyptic number.

122056912992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122056912992 is an abundant number, since it is smaller than the sum of its proper divisors (266857694880).

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

122056912992 is a wasteful number, since it uses less digits than its factorization.

122056912992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128201 (or 1128186 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 122056912992 in words is "one hundred twenty-two billion, fifty-six million, nine hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 108192 1128151 2256302 3384453 4512604 6768906 7897057 9025208 13537812 15794114 18050416 23691171 25947473 27075624 31588228 36100832 47382342 51894946 54151248 55279399 63176456 77842419 94764684 103789892 108302496 110558798 126352912 155684838 165838197 181632311 189529368 207579784 221117596 252705824 311369676 331676394 363264622 379058736 415159568 442235192 544896933 622739352 663352788 726529244 758117472 830319136 884470384 1089793866 1245478704 1271426177 1326705576 1453058488 1768940768 2179587732 2490957408 2542852354 2653411152 2906116976 3814278531 4359175464 5085704708 5306822304 5812233952 7628557062 8718350928 10171409416 15257114124 17436701856 20342818832 30514228248 40685637664 61028456496 122056912992