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12030200244440 = 23571991627132701
BaseRepresentation
bin1010111100001111111111…
…0011111110100011011000
31120121002001100011110220022
42233003333303332203120
53034100322230310230
641330333034050012
72351103401604260
oct257037763764330
946532040143808
1012030200244440
113918a85458504
121423649879908
1369359b3c6301
142d839c8707a0
1515cdee4011e5
hexaf0ffcfe8d8

12030200244440 has 128 divisors (see below), whose sum is σ = 31109595264000. Its totient is φ = 4101359961600.

The previous prime is 12030200244421. The next prime is 12030200244467. The reversal of 12030200244440 is 4444200203021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90590090 + ... + 90722790.

It is an arithmetic number, because the mean of its divisors is an integer number (243043713000).

Almost surely, 212030200244440 is an apocalyptic number.

12030200244440 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 12030200244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554797632000).

12030200244440 is an abundant number, since it is smaller than the sum of its proper divisors (19079395019560).

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

12030200244440 is a wasteful number, since it uses less digits than its factorization.

12030200244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134545 (or 134541 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 12030200244440 its reverse (4444200203021), we get a palindrome (16474400447461).

The spelling of 12030200244440 in words is "twelve trillion, thirty billion, two hundred million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1627 1990 2786 3254 3980 5572 6508 6965 7960 8135 11144 11389 13016 13930 16270 22778 27860 32540 45556 55720 56945 65080 91112 113890 132701 227780 265402 323773 455560 530804 647546 663505 928907 1061608 1295092 1327010 1618865 1857814 2266411 2590184 2654020 3237730 3715628 4532822 4644535 5308040 6475460 7431256 9065644 9289070 11332055 12950920 18131288 18578140 22664110 26407499 37156280 45328220 52814998 90656440 105629996 132037495 184852493 211259992 215904527 264074990 369704986 431809054 528149980 739409972 863618108 924262465 1056299960 1079522635 1478819944 1511331689 1727236216 1848524930 2159045270 3022663378 3697049860 4318090540 6045326756 7394099720 7556658445 8636181080 12090653512 15113316890 30226633780 42965000873 60453267560 85930001746 171860003492 214825004365 300755006111 343720006984 429650008730 601510012222 859300017460 1203020024444 1503775030555 1718600034920 2406040048888 3007550061110 6015100122220 12030200244440