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1201807912900 = 225272156612
BaseRepresentation
bin10001011111010001010…
…101010110111111000100
311020220002001121121020111
4101133101111112333010
5124142300311203100
62320034122242404
7152553630465100
oct21372125267704
94226061547214
101201807912900
11423758265891
12174b03056404
138943a01865a
144224c6a0900
15213dd7a86ba
hex117d1556fc4

1201807912900 has 81 divisors (see below), whose sum is σ = 3033900269127. Its totient is φ = 412022116800.

The previous prime is 1201807912897. The next prime is 1201807912909. The reversal of 1201807912900 is 92197081021.

The square root of 1201807912900 is 1096270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 325741864644 + 876066048256 = 570738^2 + 935984^2 .

It is not an unprimeable number, because it can be changed into a prime (1201807912909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76731070 + ... + 76746730.

Almost surely, 21201807912900 is an apocalyptic number.

1201807912900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201807912900 is the 1096270-th square number.

It is an amenable number.

1201807912900 is an abundant number, since it is smaller than the sum of its proper divisors (1832092356227).

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

1201807912900 is an frugal number, since it uses more digits than its factorization.

1201807912900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31350 (or 15675 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 40.

The spelling of 1201807912900 in words is "one trillion, two hundred one billion, eight hundred seven million, nine hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 15661 31322 62644 78305 109627 156610 219254 313220 391525 438508 548135 767389 783050 1096270 1534778 1566100 2192540 2740675 3069556 3836945 5481350 7673890 10962700 15347780 19184725 38369450 76738900 245266921 490533842 981067684 1226334605 1716868447 2452669210 3433736894 4905338420 6131673025 6867473788 8584342235 12018079129 12263346050 17168684470 24036158258 24526692100 34337368940 42921711175 48072316516 60090395645 85843422350 120180791290 171686844700 240361582580 300451978225 600903956450 1201807912900