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122010102240 = 25351319552901
BaseRepresentation
bin111000110100001011…
…1100110100111100000
3102122221002112101101120
41301220113212213200
53444334041232430
6132014535532240
711546344520535
oct1615027464740
9378832471346
10122010102240
1147820581744
121b790b2a080
13b67578a990
145c962b0d8c
1532916b1610
hex1c685e69e0

122010102240 has 96 divisors (see below), whose sum is σ = 413895829536. Its totient is φ = 30033254400.

The previous prime is 122010102239. The next prime is 122010102259. The reversal of 122010102240 is 42201010221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9770211 + ... + 9782690.

It is an arithmetic number, because the mean of its divisors is an integer number (4311414891).

Almost surely, 2122010102240 is an apocalyptic number.

122010102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010102240 is an abundant number, since it is smaller than the sum of its proper divisors (291885727296).

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

122010102240 is a wasteful number, since it uses less digits than its factorization.

122010102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19552932 (or 19552924 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122010102240 its reverse (42201010221), we get a palindrome (164211112461).

The spelling of 122010102240 in words is "one hundred twenty-two billion, ten million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 19552901 39105802 58658703 78211604 97764505 117317406 156423208 195529010 234634812 254187713 293293515 312846416 391058020 469269624 508375426 586587030 625692832 762563139 782116040 938539248 1016750852 1173174060 1270938565 1525126278 1564232080 1877078496 2033501704 2346348120 2541877130 3050252556 3128464160 3812815695 4067003408 4692696240 5083754260 6100505112 7625631390 8134006816 9385392480 10167508520 12201010224 15251262780 20335017040 24402020448 30502525560 40670034080 61005051120 122010102240