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122033021023120 = 2451789730162517
BaseRepresentation
bin11011101111110100000110…
…110111100111001110010000
3121000002020120001111122220211
4123233310012313213032100
5111443342111340214440
61111313110153013504
734463411010563524
oct3357640667471620
9530066501448824
10122033021023120
1135979a05a78449
121182a9979b4294
135312883bbb67c
14221c603283d84
15e1955b5a4eea
hex6efd06de7390

122033021023120 has 40 divisors (see below), whose sum is σ = 300416584110264. Its totient is φ = 45941843208192.

The previous prime is 122033021023049. The next prime is 122033021023223. The reversal of 122033021023120 is 21320120330221.

It can be written as a sum of positive squares in 4 ways, for example, as 52460006013184 + 69573015009936 = 7242928^2 + 8341044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 122033021023091 and 122033021023100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44865079899 + ... + 44865082618.

Almost surely, 2122033021023120 is an apocalyptic number.

122033021023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122033021023120 is an abundant number, since it is smaller than the sum of its proper divisors (178383563087144).

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

122033021023120 is a wasteful number, since it uses less digits than its factorization.

122033021023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89730162547 (or 89730162541 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122033021023120 its reverse (21320120330221), we get a palindrome (143353141353341).

The spelling of 122033021023120 in words is "one hundred twenty-two trillion, thirty-three billion, twenty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 89730162517 179460325034 358920650068 448650812585 717841300136 897301625170 1435682600272 1525412762789 1794603250340 3050825525578 3589206500680 6101651051156 7178413001360 7627063813945 12203302102312 15254127627890 24406604204624 30508255255780 61016510511560 122033021023120