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121234003104 = 25319915794019
BaseRepresentation
bin111000011101000011…
…1000001010010100000
3102120221000011110112010
41300322013001102200
53441241401044404
6131405533232520
711521202011044
oct1607207012240
9376830143463
10121234003104
11474624859a5
121b5b5032740
13b580a55916
145c211a8024
1532484ab189
hex1c3a1c14a0

121234003104 has 96 divisors (see below), whose sum is σ = 320120640000. Its totient is φ = 40172799744.

The previous prime is 121234003091. The next prime is 121234003117. The reversal of 121234003104 is 401300432121.

It is an interprime number because it is at equal distance from previous prime (121234003091) and next prime (121234003117).

It is a tau number, because it is divible by the number of its divisors (96).

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, 30163207 + ... + 30167225.

It is an arithmetic number, because the mean of its divisors is an integer number (3334590000).

Almost surely, 2121234003104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121234003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160060320000).

121234003104 is an abundant number, since it is smaller than the sum of its proper divisors (198886636896).

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

121234003104 is a wasteful number, since it uses less digits than its factorization.

121234003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 121234003104 its reverse (401300432121), we get a palindrome (522534435225).

The spelling of 121234003104 in words is "one hundred twenty-one billion, two hundred thirty-four million, three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1579 1592 2388 3158 3184 4019 4737 4776 6316 6368 8038 9474 9552 12057 12632 16076 18948 19104 24114 25264 32152 37896 48228 50528 64304 75792 96456 128608 151584 192912 314221 385824 628442 799781 942663 1256884 1599562 1885326 2399343 2513768 3199124 3770652 4798686 5027536 6346001 6398248 7541304 9597372 10055072 12692002 12796496 15082608 19038003 19194744 25384004 25592992 30165216 38076006 38389488 50768008 76152012 76778976 101536016 152304024 203072032 304608048 609216096 1262854199 2525708398 3788562597 5051416796 7577125194 10102833592 15154250388 20205667184 30308500776 40411334368 60617001552 121234003104