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12977949120 = 263531436087
BaseRepresentation
bin11000001011000101…
…11100100111000000
31020111110022010100020
430011202330213000
5203034323332440
65543442253440
7636414514233
oct140542744700
936443263306
1012977949120
11555a794294
122622357280
1312ba950c46
148b186941a
1550e5483d0
hex3058bc9c0

12977949120 has 112 divisors (see below), whose sum is σ = 42534279168. Its totient is φ = 3349140480.

The previous prime is 12977949113. The next prime is 12977949161. The reversal of 12977949120 is 2194977921.

It is a happy number.

It is a super-2 number, since 2×129779491202 (a number of 21 digits) contains 22 as substring.

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, 188284 + ... + 247803.

Almost surely, 212977949120 is an apocalyptic number.

12977949120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12977949120 is an abundant number, since it is smaller than the sum of its proper divisors (29556330048).

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

12977949120 is a wasteful number, since it uses less digits than its factorization.

12977949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436138 (or 436128 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 12977949120 in words is "twelve billion, nine hundred seventy-seven million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 436087 872174 1308261 1744348 2180435 2616522 3488696 4360870 5233044 6541305 6977392 8721740 10466088 13082610 13518697 13954784 17443480 20932176 26165220 27037394 27909568 34886960 40556091 41864352 52330440 54074788 67593485 69773920 81112182 83728704 104660880 108149576 135186970 139547840 162224364 202780455 209321760 216299152 270373940 324448728 405560910 418643520 432598304 540747880 648897456 811121820 865196608 1081495760 1297794912 1622243640 2162991520 2595589824 3244487280 4325983040 6488974560 12977949120