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121554033440 = 2557271218371
BaseRepresentation
bin111000100110100101…
…1110101101100100000
3102121202022100200121112
41301031023311230200
53442420313032230
6131501404442452
711532136144100
oct1611513655440
9377668320545
10121554033440
11476070a0484
121b684249428
13b602147898
145c518b3200
153266624d95
hex1c4d2f5b20

121554033440 has 144 divisors (see below), whose sum is σ = 338763104064. Its totient is φ = 41088499200.

The previous prime is 121554033427. The next prime is 121554033451. The reversal of 121554033440 is 44330455121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 121554033397 and 121554033406.

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, 447455 + ... + 665825.

It is an arithmetic number, because the mean of its divisors is an integer number (2352521556).

Almost surely, 2121554033440 is an apocalyptic number.

121554033440 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 121554033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169381552032).

121554033440 is an abundant number, since it is smaller than the sum of its proper divisors (217209070624).

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

121554033440 is a wasteful number, since it uses less digits than its factorization.

121554033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218471 (or 218456 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 121554033440 its reverse (44330455121), we get a palindrome (165884488561).

The spelling of 121554033440 in words is "one hundred twenty-one billion, five hundred fifty-four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 71 80 98 112 140 142 160 196 224 245 280 284 355 392 490 497 560 568 710 784 980 994 1120 1136 1420 1568 1960 1988 2272 2485 2840 3479 3920 3976 4970 5680 6958 7840 7952 9940 11360 13916 15904 17395 19880 27832 34790 39760 55664 69580 79520 111328 139160 218371 278320 436742 556640 873484 1091855 1528597 1746968 2183710 3057194 3493936 4367420 6114388 6987872 7642985 8734840 10700179 12228776 15285970 15504341 17469680 21400358 24457552 30571940 31008682 34939360 42800716 48915104 53500895 61143880 62017364 77521705 85601432 107001790 108530387 122287760 124034728 155043410 171202864 214003580 217060774 244575520 248069456 310086820 342405728 428007160 434121548 496138912 542651935 620173640 759712709 856014320 868243096 1085303870 1240347280 1519425418 1712028640 1736486192 2170607740 2480694560 3038850836 3472972384 3798563545 4341215480 6077701672 7597127090 8682430960 12155403344 15194254180 17364861920 24310806688 30388508360 60777016720 121554033440