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12029701900 = 2252312151829
BaseRepresentation
bin10110011010000011…
…01010111100001100
31011001101000011200211
423031001222330030
5144114100430100
65305410132204
7604051531126
oct131501527414
934041004624
1012029701900
1151134a90a7
1223b8881064
131199363c08
14821950216
154a618b1ba
hex2cd06af0c

12029701900 has 108 divisors (see below), whose sum is σ = 27185082960. Its totient is φ = 4620240000.

The previous prime is 12029701897. The next prime is 12029701913. The reversal of 12029701900 is 910792021.

It is a super-2 number, since 2×120297019002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14510686 + ... + 14511514.

Almost surely, 212029701900 is an apocalyptic number.

12029701900 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 12029701900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592541480).

12029701900 is an abundant number, since it is smaller than the sum of its proper divisors (15155381060).

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

12029701900 is a wasteful number, since it uses less digits than its factorization.

12029701900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 12029701900 in words is "twelve billion, twenty-nine million, seven hundred one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 151 155 302 310 604 620 755 775 829 961 1510 1550 1658 1922 3020 3100 3316 3775 3844 4145 4681 4805 7550 8290 9362 9610 15100 16580 18724 19220 20725 23405 24025 25699 41450 46810 48050 51398 82900 93620 96100 102796 117025 125179 128495 145111 234050 250358 256990 290222 468100 500716 513980 580444 625895 642475 725555 796669 1251790 1284950 1451110 1593338 2503580 2569900 2902220 3129475 3186676 3627775 3880549 3983345 6258950 7255550 7761098 7966690 12517900 14511100 15522196 15933380 19402745 19916725 38805490 39833450 77610980 79666900 97013725 120297019 194027450 240594038 388054900 481188076 601485095 1202970190 2405940380 3007425475 6014850950 12029701900