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121671557020 = 2251337594632
BaseRepresentation
bin111000101010000110…
…0001001111110011100
3102122001111111111122201
41301110030021332130
53443140404311040
6131521203421244
711535064112326
oct1612414117634
9378044444581
10121671557020
1147667470702
121b6b7684824
13b6205b5570
145c63346616
153271adba9a
hex1c54309f9c

121671557020 has 144 divisors (see below), whose sum is σ = 288013713120. Its totient is φ = 42877029888.

The previous prime is 121671557017. The next prime is 121671557027. The reversal of 121671557020 is 20755176121.

It is a super-2 number, since 2×1216715570202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121671557027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262789309 + ... + 262789771.

It is an arithmetic number, because the mean of its divisors is an integer number (2000095230).

Almost surely, 2121671557020 is an apocalyptic number.

121671557020 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 121671557020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144006856560).

121671557020 is an abundant number, since it is smaller than the sum of its proper divisors (166342156100).

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

121671557020 is a wasteful number, since it uses less digits than its factorization.

121671557020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 121671557020 in words is "one hundred twenty-one billion, six hundred seventy-one million, five hundred fifty-seven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 59 65 74 118 130 148 185 236 260 295 370 463 481 590 740 767 926 962 1180 1534 1852 1924 2183 2315 2405 3068 3835 4366 4630 4810 6019 7670 8732 9260 9620 10915 12038 15340 17131 21830 24076 27317 28379 30095 34262 43660 54634 56758 60190 68524 85655 109268 113516 120380 136585 141895 171310 214369 222703 273170 283790 342620 355121 428738 445406 546340 567580 710242 857476 890812 1010729 1071845 1113515 1420484 1775605 2021458 2143690 2227030 2786797 3551210 4042916 4287380 4454060 5053645 5573594 7102420 7931653 10107290 11147188 12647771 13139477 13933985 15863306 20214580 25295542 26278954 27867970 31726612 39658265 50591084 52557908 55735940 63238855 65697385 79316530 103111489 126477710 131394770 158633060 164421023 206222978 252955420 262789540 328842046 412445956 467967527 515557445 657684092 822105115 935935054 1031114890 1644210230 1871870108 2062229780 2339837635 3288420460 4679675270 6083577851 9359350540 12167155702 24334311404 30417889255 60835778510 121671557020